Question

dv/dt = 18+10t find the acceleration by using this equation

Answer 1

Solution :

Given, dv/dt = 18 + 10t

We know that v = velocity and t = time. Then the differentiation of v with respect to time t is acceleration itself.

∴ acceleration = dv/dt = 18 + 10t

Answer 2

$\huge{\star}{\underline{\boxed{\red{\sf{Answer :}}}}}{\star}$

We know that,

$\huge{\boxed{\sf{a \: = \: {\frac{v \: - \: u}{\Delta t}}}}}$

Where a is acceleration.

v is final velocity.

u is initial velocity .

We can also write it as :-

$\huge{\implies}{\boxed{\sf{a \: = \: {\frac{{\Delta}v}{{\Delta}t}}}}}$

Put limits

$\huge\sf{\lim_{\Delta t \to 0}}}$

$\huge{\implies}{\boxed{\sf{a \: = \: {\frac{dv}{dt}}}}}$

$\rule{200}{2}$

So,

A.T.Q,

dv/dt = 18 + 10t

⇒Acceleration (a) = dv/dt = 18 + 10t