Question

The position x of a particle varies with time t as
x = 10 + 12t – 2t^2, where x is in metre and t in
second The distance travelled by body in 5 second
is​

Answer 1

From the question,

$\sf{x = 10 + 12t - 2t {}^{2}}$

Time taken,t = 5 seconds

As x = 10+12t-2t²

»x = 10+12(5) -2(5)²

»x = 10+60-50

»x = 20m

The object travels a distance of 20m in 5s.