2-D Kinematics

Classical Mechanics Level 3

If a body starts from rest at $t=0$ and is moving in $2-D$ plane with acceleration $a=t^{5}e^{-t}$ then find its velocity at $t=\infty$

none of these

2

120

24

6

1 solution

Shivam Jadhav
Apr 1, 2016

$\frac{dv}{dt}=t^{5}e^{-t}$

$dv=t^{5}e^{-t}dt$

$\int_0^{v}dv=\int_0^{\infty}t^{5}e^{-t}dt$

$v=\Gamma(6)$

$v=5!=120$

It's a gamma function, right?

Parag Zode - 5 years, 2 months ago

yes , you are right.

Ankit Kumar Jain - 3 years, 12 months ago