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Questions  

A shell is fired with a horizontal velocity in the positive x-direction from the top of an 80m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the initial speed of the shell? (Take g = 10 m/s2)

a
332.5 m/s
b
170 m/s
c
82 m/s
d
9.8 m/s

detailed solution

Correct option is A

The initial velocity in the y-direction is zero.y−y0=uyt+12ayt2⇒(−80)−0=(0)t−12(10)t2⇒t=805=4sThe horizontal displacement is 1330 m. If the initial speed is v0, thenv0t=1330⇒v0=13304=332.5m/s

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