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A stone is thrown vertically upwards and returns to the starting point at the ground in 6 sec. Find out max. height and initial velocity of stone.

written 3.5 years ago by teamques10 ★ 68k

•   modified 3.5 years ago

engineering physics

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written 3.5 years ago by teamques10 ★ 68k

(i)

Given:

$t=6s\\[2ex]s=0\\[2ex]a=19.8m/s_2\\[2ex]s=ut+\frac{1}{2}at^2\\[2ex]0=u\times 6-4.9\times 36\\[2ex]\therefore u=29.4m/s\uparrow$

(ii)

$v=0;s=H\\[2ex]v^2=u^2+2as\\[2ex]\therefore 0=29.4^2+2(-9.8)\times H\\[2ex]\therefore H=44.1m$

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