Dynamics

A stone is thrown vertically upward from the top of a 30m high building with a velocity of 15m/s. Taking the acceleration of stone as 9.81 m/s2. And taking that as constant, determine a) the velocity v and elevations sy of stone above the ground at any time t b) the maximum altitude reached by the stone c) time when the stone strikes the ground

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  1. The kinematics equations for the stone, ignoring air resistance, is as follows:

    vi=initial velocity = 15 (upwards)
    g=acceleration due to gravity=(-9.81)
    xi=initial position = 20 m (above ground)
    t=time in seconds from throwing stone upwards.
    (a)
    x(t)=vi*t+(1/2)gt²
    (remember that g is negative)
    (b) equate x'(t)=0 and solve for t.
    (c) solve for x(t)=0, retain positive root only.

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