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Linear Equation

A ball is thr...

Question

A ball is thrown downward with an initial velocity of 10 m/sec from a height of 40 m. Find the time taken by the ball to reach the ground - [ g = 10 m/sec²]

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Solution

use
s=ut+gt²/2
40=10t+10t²/2
10t+5t²-40=0
now solve this quadratic equation:
t²+2t-8=0
t²+4t-2t-8=0
t(t+4)-2(t+4)=0
(t+4)(t-2)=0
t=-4 or 2
time can not be negative so t =2

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