Question

If a particle moves with velocity v( t ) = 2t² - t m/s , then find the velocity of particle at t = 3s .​

Answer 1

Question:

If a particle moves with velocity v( t ) = 2t² - t m/s , then find the velocity of particle at t = 3s .

Solution:

Here, velocity is given as a function of time,

$v(t) = 2t^2-t ~m/s$.

We have to find the velocity at t=3s, simply put the value of t as 3 in the function.

$v(3)= 2 \times 3^2 - 3~ m/s \implies 18-3~ m/s \implies 15 ~m/s$

Required answer is 15m/s.