You can find more problems and solutions like these in the book "Practice Problems in Physics" by Abhay Kumar.
A particle moves along a straight line with a velocity given by $v = 3t^2 - 2t + 1$ m/s, where $t$ is in seconds. Find the acceleration of the particle at $t = 2$ s. practice problems in physics abhay kumar pdf
Given $v = 3t^2 - 2t + 1$
Acceleration, $a = \frac{dv}{dt} = \frac{d}{dt}(3t^2 - 2t + 1)$ You can find more problems and solutions like
Using $v^2 = u^2 - 2gh$, we get
A body is projected upwards from the surface of the earth with a velocity of $20$ m/s. If the acceleration due to gravity is $9.8$ m/s$^2$, find the maximum height attained by the body. Given $v = 3t^2 - 2t + 1$
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