Question

A motorcycle moving at a velocity of 20 m/s accelerates uniformly at 2 The velocity of the motorcycle will be ________ m/s after 10 seconds.

Question 4 options:


A. none of the below
B. 42
C. 40
D. 22

Answer 1

C. 40 m/s

Explanation

To solve this, we are using the kinematic equation for final velocity:

`v_f=v_i+a*t`

where

`v_f` is the final velocity

`v_i` is the initial velocity

`a` is the acceleration

`t` is the time

We know from our a problem that a motorcycle moving at 20 m/s accelerates uniformly 2 m/s^2 for 10 seconds, so
`v_i=20(m)/(s)`,
`a=2(m)/(s^2)`, and
`t=10s`.

Now we can replace the values

`v_f=v_i+a*t`

`v_f=20(m)/(s) +2(m)/(s^2) *10s`

`v_f=20(m)/(s) +2(m)/(s) *10`

`v_f=20(m)/(s) +20(m)/(s)`

`v_f=40(m)/(s)`

We can conclude that the velocity of the motorcycle will be 40 m/s after 10 seconds.