Introduction
as the newly appointed student of proffesion adam stolenburg, you are to determine which of the proffessors estimates where correct. the experiment he has created was to launch a 50kg object from the edge of melbourne australaia, to the border of tasmania 564km (564000m) away when launched at an angle of 45 degrees. the professor has estimated 3 specific velocities that will (1) not reach the boarder (2) reach the border (3) over shoot the border. (please note that external forces such as air resitance will not be taken into account. to earn some extra brownie points you should also calculate momentum, as well as the average accelerating of the object required to reacher the target velocity within a 10, 20 and 30m range of acceleration. and the force applied on the object during these moments of acceleration..
Task
by the end of this webquest, students should be able to perform calculations using linear and 2D motion equations as, relating information to daily life to explain things that are common all around. being able to see the motion of objects and explain this fenomenon at such as a level that they feel comfortable with the course content covered within this webquest.
Process
1) definition
learning objective- (students will learn the definitions of common terms used when talking about 1D and 2D motion and motion in general.)
outcome-
-5.6.2a describe qualitatively the relationship between force, mass and acceleration
-5.6.2b explain qualitatively the relationship between distance, speed and time
contant acceleration
-constant acceleration refers to when the acceleration of an object is contant i.e a car accelerating at a velocity of 5m/s for 5 seconds will have a constant acceleration of 5 seconds resulting in 25m/s at the end of the acceleration period.
displacment
https://www.khanacademy.org/science/physics/one-dimensional-motion/disp…
average velocity and average speed
average speed, refering to the average speed in any direction over the total distance where as average velocity refers to the average speed in a specific direction such that if a an object travelled 200m however was only 20 meters from the origin then only the 20m will be needed to calculate the average velocity.
http://www.physicstutorials.org/home/mechanics/1d-kinematics/speed-velo…
https://www.youtube.com/watch?v=kk_o7FKB_AI average acceleration
https://www.youtube.com/watch?v=D2rYqNrIbhw average velocity
https://www.youtube.com/watch?v=aLF7QC1PXyY displacment
2) definitions continued
learning objective- (students will learn the definitions of common terms used when talking about 1D and 2D motion and motion in general.)
outcome;
-5.6.2a describe qualitatively the relationship between force, mass and acceleration
-5.6.2b explain qualitatively the relationship between distance, speed and time
Using vectors to explain velocity in both x and y
notice how velocity in the x direction does not change without air resistance and the y values change due to gravity.
http://www.physicsclassroom.com/class/vectors/Lesson-2/Horizontal-and-V…
momentum
http://www.physicsclassroom.com/Class/momentum/u4l1a.cfm
force (use arrows on website to access slide show)
http://zonalandeducation.com/mstm/physics/mechanics/forces/newton/might…
3) liniar motion in use
learning objective-(students will take the definitions they have recently learned and apply there knowledge in calculating 1D motion.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
http://www.tutorvista.com/physics/linear-motion-example
spend the next two parts of this quest, practicing linear motion in daily life, such as time it takes traveling at a certain speed etc.
4 = 3 continued)
learning objective-(students will take the definitions they have recently learned and apply there knowledge in calculating 1D motion.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
5) rearanging equations pratice
learning objective- (students will revise maths content in order to be comfortable with using and rearanging equations.)
https://www.youtube.com/watch?v=_WWgc3ABSj4
http://serc.carleton.edu/mathyouneed/equations/ManEqSP.html
http://mathematicsi.com/rearranging-equations/
6) introducing projectile motion
learning objective- (students will be introduced to the 2D motion equations, by the end of this step students should feel comfotable when reading or picking which equation to use.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
-perform firsthand calculations with projectile motion equations.
calculating velocities, x and y values
sine cos tan revision (trigonometry)
https://www.mathsisfun.com/sine-cosine-tangent.html
(* = multply)
for the x value of initial velocity
vi*cos(θ)
for the y value of initial velocity
vi*sin(θ)
(HINT)
think of the motion of the projectile in the x and y values in terms of vectors
http://www.physicstutorials.org/home/mechanics/1d-kinematics/projectile…
explain what will happen to the velocity of the object in the air due to gravity for both x and y values (HINT use vectors to show acceleration due to gravity at varying plots along the projectiles path.
7-8) using equations
learning objective-(this portion of the task will allow students to understand how some of the equations will be used to calculate what will be needed to complete the task.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
-perform firsthand calculations with projectile motion equations.
(* = multply)
calculating initial velocities of both x and y values, the initial velocity will be given to you in this example however to calculate such things as the maximum height of a projectile, the initial velocity in the y direction would be required in order to fullfill the equation needed. to find the x and y values the of initial velocity, is exactly the same as using triganometry to find the sides of a triangle such that at an angle of 45 degrees, your equation would be vi*sin(θ) (where vi = initial velocity/ also hypotenus) so x= visin(θ)
calculating height
when the velocity in the y direction is calculated, Vthe equation being, v=vo-g*t and the velocity at max height for the x value will be 0, now we must calculate the time it would take to reach maximum height your equation will become 0=vo-g*t which will now be rearanged for t, becoming (v-vo)/g =t. you can now attempt to calculate the maximum height (i.e the maxamum x value) as your height equation will be given
vy2 = voy2 + 2a*y
vy= 0 due to max height
voy = (vosin(θ))2
a = -9.8m/s
y = height
solve equation for y
to calculate total distance travelled it is simply multiplying the time taken for the total flight, (which is 2* the time till max height) by the velocity in the x direction. which, rearanged can help determine the initial velocity to reach the required distance.
projectile motion equations
http://formulas.tutorvista.com/physics/projectile-motion-formula.html
9) finish first task
learning objective- (the students will be able to complete each of the required fields necessary to calculate, height, time, velocity etc.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
-perform firsthand calculations with projectile motion equations.
the point of your calculations is to determine the maximum height of the projectile, x and y velocitys and the time of the entire flight and which of the velocitys given will make the projectile travel the required distance specifically.
the professor has given you 3 velocitys to test to see which will make the projectile reach 564000m
these 3 velocities are
2170 m/s 2350 m/s 2740 m/s
at an angle of 45 degrees to travel within 1000m of a total distance of 564000m
(answers at the end of task)
10) momentum
learning objective- (students gain more knowledge on momentum and learn to calculate momentum at different points within the flight path of the projectiles motion.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
http://www.physicsclassroom.com/Class/momentum/u4l1a.cfm
https://www.youtube.com/watch?v=i_dKAjx9DZM\
to calculate momentum takes into account the mass of the object multypiled by the velocity of the object
p = m*v
p =momentum
m= mass
v= velocity
detemine if the momentum will change from intial take off and at max height (hint; use vectors to make it easier to determine
11) average velocity 10,20,30
learning objective- (students use there knowledge on how to calculate acceleration within the given acceleration periods.)
outcome-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
-perform firsthand calculations with projectile motion equations.
-perform first hand investigation to calculate momentum.
in order to make the object accelerate from 0 to the velocity required, an initial acceleration period is needed, to score browny point with the professor, calculate the acceleration needed to go from 0 to vi between 10m, 20m, 30m acceleration periods.
a= v/distance
answer will be velocity increase per meter (i.e from 0-50 in 5 meters will be an increase of 10 m/s per meter
12) draw acceleration v/t graph for each acceleration period
learning objective- (students process infromation in order to produce a graph depicting velocity/time to express the acceleration of the object over three time periods.)
with velocity on the y axis and time as the x axis
13-15 assessment
learning objective- (recall all information learnt, assess weaknesses and perform more research in order to overcome this.)
revise content until well understood as content can become blurry due to equation overlap.
(answers)
<time to max height> 169.56s
<max flight time> 339.12
<max height> 140879.9m
<correct velocity approximatly> 2350 m/s
<velocity in x and y direction>
x= 1661.7 m/s
y= 1661.7 m/s
<momentum>
initial p= 2350* 50kg 117500 joules
max height p=1661.7* 50kg 83083 joules
<acceleration>
10m 235 m/s increase in speed per meter
20m 117.5 m/s increase in speed per meter
30m 78.3 m/s increase in speed per meter
Evaluation
rubic provided is so students can compare how they have done after finishing the webquest.
8-10/10
sutdent are able to completely understand content and acheive the correct answer on all questions.
5-8/10
students are able to show understanding however find a challange when calculating content.
3-5/10
students have little commprehension of webquest content as shown when come to main questions presented at the end of the webquest.
0-2/10
students show little to no comprehension to course content, questions cause major trouble to understanding to content and cannot be answered.
Conclusion
the reason behind the topic chosen, is that i personally have difficulty comprehending and understand defintions as well as the equations and how to rearange equations to calculate for a specific subject. therefore i beleive that this subject needed more attention and therefore the inspiration behind the chosen topic of the webquest.
outcomes-
-5.6.2c relate qualitatively acceleration to change in speed and/or direction as a result of a net force
-describe the trajectory of an object undergoing projectile motion within the Earth’s gravitational field in terms of horizontal and vertical components
-perform firsthand calculations with projectile motion equations.
content covered-
-speed change
-instantaneous and average quantities
-define physics language and what each topic represents
-describe motion in 1D and 2D
-calcualting x and y values
-momentum
-1D and 2D equations
by the end of this webquest students should have gained confidence in facing projectile motion equation and have a greater understanding when reading about quantities such as acceleration, momentum etc.