At a shooting gallery

PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

At a shooting gallery, a man fires a bullet from a rifle horizontally at a target. The target is 75.00 m away. The bullet leaves the rifle at a speed of 150.0 ms−1150.0 \text{ ms}^{-1} . Ignoring any effects of air friction on the bullet, and using g=10 ms−2g = 10 \text{ ms}^{-2} : (1) calculate the time it takes for the bullet to hit the target, (2) using the equation v2=u2+2asv^2 = u^2 + 2as , with the appropriate value for vv , show that the bullet hits the target 1.25 m below the horizontal, (3) calculate the total velocity vector for the bullet just as it hits the target.

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