A body is projected vertically up from the foot of a tower 392 m height with a velocity 98 m/s at the same instant another body dropped from the top. Find when and where they will meet?
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Let them meet at a height x above the ground t seconds after projection.
For the body A,
U = + 98 m/s, a = - 9.8m/s2
S= x, t = t
S = = ut + ½ at^2
x = 9.8 t – 4.9 t^2 ……………….(1)
For the second body B,
U = 0, a = 9.8 m/s^2
s = (392 – x), t = t
392 – x = 4.9 t^2 …………..(2)
Adding (1) and (2) 392 = 98t, t = 4 s
Substituting the value of t in equation (1)
h = 98 x 4 – 4.9 x 4 2 = 313.6 m
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