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A rock is thrown horizontally with an initial speed of 12 ms from a bridge 65 m high How far does the rock travel horizontally before hitting the water?
So we are given a velocity 12 m/s and a distance of 65 m. We have to use two formulas to solve this problem: 1.) y=(1/2)(a)(t^2) and 2.) v=x/t. We use the first formula to solve this problem first. We plug in the givens of 65 m for y and the gravitational constant for a (9.81 m/s). We should get 65=(1/2)(9.81m/s)(t^2). We then want to solve for (t^2) in order to plug it into the second equation. When solved, t is around 3.642156795 s. We then plug the time and the velocity into the second formula giving us 12 m/s=x/( 3.642156795s). We solve for x and it should be equal to 43.7052 m or 44 m.
-YoLo
P.S. APEX is gonna find you!
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What is the initial velocity if you kick a rock off a bridge that is 450 meters high and it travels a horizontal distance of 32 meters before hitting the water below?
The initial velocity can be found using the kinematic equation: (d = v_0t + \frac{1}{2}at^2), where (d = 32m), (a = -9.81 m/s^2) (acceleration due to gravity), and (t) can be calculated using the time it takes for the rock to fall from a height of 450m. The initial velocity (v_0) is the horizontal component of velocity; therefore, it is the found by (v_0 = \frac{d}{t}).
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