First slide

Projectile motion

Question

A car is moving horizontally along a straight line with a uniform velocity of 25 ms^-1. A projectile is to be fired from this car in such a way that it will return to it after it has moved 100 m. The speed of the projection must be

Moderate

A

10 ${ms}^{- 1}$
B

20 ${ms}^{- 1}$
C

15 ${ms}^{- 1}$
D

25 ${ms}^{- 1}$

Solution

$T = \frac{100}{25} = 4 s \Rightarrow \frac{2 u \sin θ}{g} = 4 \Rightarrow u \sin θ = 20 {ms}^{- 1}$

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