Question

An object moves along x-axis such that its position varying with time t is given as x=4t-t^2.the distance travelled by the object from t=0 to t=3 s is

Answer 1

Answer:

Total distance travel by object = 7 m

Explanation:

Given that

$x=4t-t^2\ m$

The velocity of object

$V=\dfrac{ds}{dt}$

So V=4 - 2 t

It shows that the velocity of object will be zero at t=2 sec

At t=0 s ,x=0 m

At t=2 s,x=8-4 ⇒x=4 m

At t=3 s,x=12-9 ⇒x=3 m

So the total distance travel by object =4+3 m

Total distance travel by object = 7 m