A 500g model rocket is resting horizontally at the top edge ofa 40 m high wall w

Question

A 500g model rocket is resting horizontally at the top edge ofa 40 m high wall when it is accidentally bumped. The bump pushes itoff the edge with a horizontal speed of 0.5 m/s and at the sametime causes the engine to ognnite. When the engine fires, it exertsa constant 20 N horizontal thrust away from the wall. (a) How far from the base of the wall does the rocketland? (b) Describe the trajectory of the rocket while it travels tothe ground. A 500g model rocket is resting horizontally at the top edge ofa 40 m high wall when it is accidentally bumped. The bump pushes itoff the edge with a horizontal speed of 0.5 m/s and at the sametime causes the engine to ognnite. When the engine fires, it exertsa constant 20 N horizontal thrust away from the wall. (a) How far from the base of the wall does the rocketland? (b) Describe the trajectory of the rocket while it travels tothe ground.

Explanation / Answer

500 g=0.5 kg initial vertical velocity=0 m/s vertical acceleration=g=9.8 let time taken by the rocket t hit land=t h=40 h=u*t+(1/2)*g*t2 40=0+(1/2)*9.8*t2 t=2.86 initial horizontal velocity=0.5 m/s horizontal acceleration=force/mass=20/0.5 =40 m/2 let the rocket land s m from the base s=u*t+(1/2)*a*t2 s=0.5*2.86+(1/2)*40*2.862 s=164.7 m

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