Help with: How far from the edge of the barn is the snowball when it is at the s

Question

Help with: How far from the edge of the barn is the snowball when it is at the same height as the man?

A snowball rolls off a barn roof that slopes downward at an angle of e 40%. The edge of the roof is h 12.0 m above the ground, and the snowball has a speed of v 7.50 m/s as it rolls off the roof. Ignore air resistance. 4.0 m (a) How far from the edge of the barn does the snowball strike the ground if it doesn't strike anything else while falling? 55 (b) Draw x-t, y t, vx-t, and v t graphs for the motion in part (a Do this on paper. Your instructor may ask you to turn in these graphs.) (c) A man 1.9 m tall is standing 4.0 m from the edge of the barn. Will he be hit by the snowball? O yes no O insufficient information How far from the edge of the barn is the snowball when it is at the same height as the man? L x m

Explanation / Answer

the distance covered by the snowball is

12-1.9 m = 10.1 m

use kinematic equation to solve the problem

s= uy sin theta t + 1/2 at^2

10.1 m = 7.5 sin40 t + 1/2 (9.8) t^2

4.9 t^2+4.82 t-10.1 m = 0

solving quadratic equation

t= 1.02 s

horizontal distance covered by the snow ball is

x= v cos theta t = 7.5 cos 40 * 1.02 s = 5.86 m

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