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)

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332.5 m/s

170 m/s

82 m/s

9.8 m/s

answer is A.

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Detailed Solution

The initial velocity in the y-direction is zero.y−y0=uyt+12ayt2⇒−80−0=0t−1210t2⇒t=805=4sThe horizontal displacement is 1330 m. If the initial speed is vo, then v0t=1330⇒v0=13304=332.5 m/s

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