Question

The position of a particle moving along x-axis is
given by x = 10t - 2t2. Then the time (t) at which
it will momently come to rest is
(2) 2.5 s
(3) 5 s
(4) 10 s
(1) 0
​

Answer 1

When the object comes to rest ,

x = 0

Then

$0 \: = \: 10t \: - \: 2t {}^{2}$

$t ^{2} \: = \: 5t$

Therefore

t = 5

Answer option (3) 5 sec

Hope this would help you.. Please use the right to report my answer if it is wrong.. Thank you ..