Particle is projected down at 10m/s from the top of a 40m high tower. Determine:
(a) Time taken by it in reaching ground?
(b) speed with which it hits the ground?
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u=+10m/s, a=−10m/s2ands=−40m
(at the point where stone strikes the ground)
Substituting in s=ut+21at2, we have
−40=10t−5t2
or 5t2−10t−40=0
or t2−2t−8=0
Solving this, we have t=4s and −2s. Taking the positive value t=4s.
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