“A student buys a high powered toy rocket gun and tries to do this experiment. H

Question

“A student buys a high powered toy rocket gun and tries to do this experiment. He decides to shoot the first rocket with an initial angle of 0 degrees. The student knows that the rocket has an initial velocity of 5 m/s when he shoots it off of the 3 meter high table. The toy gun is able to give the rocket a horizontal acceleration of (2.1 m/s³)t in the same direction as the initial velocity. The vertical acceleration, directed downwards, is g. Assume air resistance can be ignored. What is the horizontal displacement of the student’s toy rocket?”

Explanation / Answer

equation is used for time of flight is " t "

t = ( 2 h / g )1/2

t = ( 2 X 3 / 9.8 )1/2

t = 0.7824 sec

the distance travelled by the rocket is " S "

S = u t + 1/2 a t2

S = 5 X 0.7824 + 0.5 X 2.1 X 0.78242

S = 4.554 m

e horizontal displacement of the student’s toy rocket is S = 4.554 m

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