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What is the impact velocity of a rock thrown at 8ms from 100m cliff?
Wiki User
∙ 13y ago
For these calculations, air resistance is neglected and acceleration due to
gravity is assumed to be -9.8 m/s2. It is assumed the the rock was thrown horizontally.
Velocity is a vector, with an x component and a y component. The x component will not change, so the x component at the point of impact will be 8 m/s. The y component of the velocity is initially zero, and the acceleration is -9.8 m/s2. The final y component of the velocity can be found using the formula
vy2 = v0y2 + 2(a)(h)
so vy2 = 2(-9.8)(-100), so vy is 44.3. The x and y components of the velocity vectors now need to be put to together using the Pythagorean theorem. So
v2 = 44.32 + 82 so the final velocity is 45.02 m/s. The angle relative to the ground can be found using the tangent. tan-1(44.3/8), which is 79.8 degrees.
Wiki User
∙ 13y ago
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