Up to this point, the projectile motion problems you have seen did not have acce

Question

Up to this point, the projectile motion problems you have seen did not have acceleration in the x (or horizontal) direction. In this problem, there is horizontal acceleration. Suppose you launch a rocket horizontally from an h = 24.5 meters high cliff. The initial speed of the rocket is zero (i.e., v_0 = 0). The acceleration provided by rockets motor is 3g. In other words, the rocket has a constant acceleration in the x-direction of three times the pull of gravity. How far from the cliff (i.e., measured horizontally) does the rocket strike the ground?

Explanation / Answer

here,

h = 24.5 m

let the time taken to hit the ground be t

h = u * t + 0.5 * g * t^2

24.5 = 0 + 0.5 * 9.8 * t^2

t = 2.24 s

the horizontal distance travelled , x = v0 * t + 0.5 * a * t^2

x = 0 + 0.5 * 3 * 9.8 * 2.24^2

x = 73.8 m

the horizontal distance travelled is 73.8 m

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