Question

velocity of body is given by
v=5t³. find it's acceleration​

Answer 1

Answer:

Explanation: acceleration = derivative of velocity

a =dv/dt

a =d5t^3/dt

a = 15t.

Answer 2

Acceleration :

It is defined as rate of change in velocity .

$\to\ \sf a=\dfrac{\Delta v}{\Delta t}$

$\to \sf a=\dfrac{dv}{dt}$

Solution :

Velocity of the particle is ,

• v = 5t³

$:\implies \sf a=\dfrac{dv}{dt}$

$:\implies \sf a=\dfrac{d}{dt}(5t^3)$

$:\implies \sf a=15t^2\ \; \bigstar$

More Info :

While solving this type of questions , we just need to differentiate the equations .

• Differentiating the displacement will gives velocity
• Differentiating the velocity will gives acceleration

SI unit of acceleration is m/s²

SI unit of velocity is m/s

SI unit of displacement is meter