# Determining Horizontal Distance

A horizontal rifle is fired at a bull's eye. The muzzle speed of the bullet is 670 m/s. The barrel is pointed directly at the center of the bull's eye, but the bullet strikes the target .025 m below the center. What is the horizontal distance between the end of the rifle and the bull's eye?

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#### Solution Preview

Vertical Distance travelled = Sv = 0.025 m

Sv = Uv*t + ...

#### Solution Summary

This solution provides calculations for finding the horizontal distance between the end of a rifle and a bull's eye.

Determine the distance when the ball is struck again

A ball of mass 150 g is fired from a smooth 30 degree incline at an angle theta with the incline as shown in the figure in the attachment. The initial velocity of the ball is v0 = 10 m/s. It travels after struck by the ground with the velocity v2 as shown. If the coefficient of restitution between ball and ground is 0.75, determine the distance d when the ball is again struck by the ground. Also calculate the time t when the ball struck the ground for the second time.

Please show all work and solve it just for theta = 30 degrees.

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