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  4. The distance travelled by an object along a straight line in time t is given by s=3-4t+5t2, the initial velocity of the object is

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Q. The distance travelled by an object along a straight line in time $t$ is given by $ s=3-4t+5{{t}^{2}}, $ the initial velocity of the object is

WBJEEWBJEE 2008Motion in a Straight Line

Solution:

Given distance travelled by an object along a straight line in time $t$ is
$3-4 t+5 t^{2}$
Here, the velocity $\frac{d s}{d t}=-4+10 t$
Hence, initial velocity will be
$\left| u=\frac{d s}{d t}\right|_{t=0}=-4$ unit