Question

Velocity of a particle at any time t is v = (2i +2t j ) m/s. Find acceleration and displacement of particle at t = 1s

Answer 1

Answer:

a = 2 j m/s^2

We get this just differentiating v .

It is independent of time .

So at t = 1 s , a = 2 j m/s ^2

By integrating v ,

x = (2t i + t ^2 j) m

At t = 1 s ,

x = (4 i + 4 j ) m

I hope it helps .

Answer 2

Answer:

Explanation:

a = $\frac{dv}{dt}$ = $\frac{d(2i+2tj)}{dt}$

a = 2j

displacement

s = $\int\limits {v} \, dt$ = $\int\limit{(2i + 2tj)} \, dt$

s = 2ti + t*tj             put t = 1

s = 2i + j