A rifle is aimed horizontally and directly at the centre of a target that is 52.0m away.

Question

A rifle is aimed horizontally and directly at the centre of a target that is 52.0m away.

a)If the bullet has an initial velocity of 312 ms-1, how long would it take to reach the target

b) how far below the centre would the bullet hit the target

Answer 1

Given

X = 52m

Vox = 312 m/s

Find

As shown on problem statement

Solution

a)

X = Vox * t

t = X/Vox = 52/312 = 0.1667 seconds

b)

Y = (1/2)*a*t^2+Voy*t+Yo

Y - Yo = (1/2)*a*t^2+Voy*t

Voy = 0

ΔY = (1/2)*a*t^2 = (1/2)*(-9.81)*.1667^2 = -0.1363 m

It will be 0.1363m below the center of the target