The displacement of a particle moving in a straight line is given by $x = 16 t - 2 t^{2}$ (where, $x$ is in meters and $t$ is in second). The distance traveled by the particle in $8$ seconds [starting from $t$ $=$ 0] is

Question

The displacement of a particle moving in a straight line is given by

x = 16 t - 2 t^{2}

(where,

x

is in meters and

t

is in second). The distance traveled by the particle in

8

seconds [starting from

t

=

0] is

Toppr Admin · Accepted Answer

Given-xA0-x-16t-x2212-2t2Comparing with second equation of motion-xA0-s-ut-12at2It can be concluded that-xA0-u-16-xA0-m-s-a-4-xA0-m-s2

The displacement of a particle moving in a straight line is given by $x = 16 t - 2 t^{2}$ (where, $x$ is in meters and $t$ is in second). The distance traveled by the particle in $8$ seconds [starting from $t$ $=$ 0] is
$40 m$
$24 m$
$80 m$
$64 m$