Use the simulation to test the equation you derived above for the Range of a projectile when launched horizontally from a given height. What is your predicted range when launching the cannon from a height h=10 m and an horizontal velocity of vy = 18 m/s? Give your answer in units of [m]

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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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Use the simulation to test the equation you derived above for the Range of a projectile when launched
horizontally from a given height. What is your predicted range when launching the cannon from a height
h=10 m and an horizontal velocity of vx
= 18 m/s?
Give your answer in units of [m]
Transcribed Image Text:Use the simulation to test the equation you derived above for the Range of a projectile when launched horizontally from a given height. What is your predicted range when launching the cannon from a height h=10 m and an horizontal velocity of vx = 18 m/s? Give your answer in units of [m]
Starting from the equation of motion for the final position in the vertical dimension under constant
acceleration
y =
+ v0,y
t + yo
and the definition of velocity in the horizontal dimension
x-X0
Ux =
0)
x - xo) of a projectile launched horizontally (0
One can find an equation for the Range (R =
from a height h=yo
What is the correct equation for R.
HINT: Solve for time in the first equation and plug on the second. Notice that the final vertical
= 0. Also notice that ay = -g
0, vo.y
position and initial vertical velocity are both zero, i.e. y =
2 yo
OR = Ux
yo
OR =
Yo
OR = 2 Ux
OR = 2 Ux
Yo
© R = vzV
Transcribed Image Text:Starting from the equation of motion for the final position in the vertical dimension under constant acceleration y = + v0,y t + yo and the definition of velocity in the horizontal dimension x-X0 Ux = 0) x - xo) of a projectile launched horizontally (0 One can find an equation for the Range (R = from a height h=yo What is the correct equation for R. HINT: Solve for time in the first equation and plug on the second. Notice that the final vertical = 0. Also notice that ay = -g 0, vo.y position and initial vertical velocity are both zero, i.e. y = 2 yo OR = Ux yo OR = Yo OR = 2 Ux OR = 2 Ux Yo © R = vzV
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