First slide

Instantaneous velocity

Question

An electron starting from rest has a velocity that increases linearly with time, that is, v = kt where k = 2 m/s². The distance covered in the first 3 sec, will be:

Easy

A

9m
B

16m
C

27 m
D

36 m

Solution

$v = \frac{dx}{dt} = kt \Rightarrow \int_{0}^{x} dx = \int_{0}^{3} kt dt \Rightarrow x = 9 m$

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