Question

The velocity of a body moving with a uniform acceleration of 2 metre per second square in 10 metre per second its velocity after an interval of 4 second is

Answer 1

acceleration=2 m/s^2

in 4 seconds it will accelerate=8 m/s

Therefore,after 4 second it's velocity will be 18 m/s

Answer 2

The velocity of the body after an interval of 4 second is 18 m/s.

Explanation:

The acceleration of the body is given as

$a=\frac{v_f-v_i}{\Delta t}$

Here v_f is the final velocity and v_i is the initial velocity and $\Delta t$ is the time interval.

Given $a=2m/s^2$,  $v_i=10m/s$  and $\Delta t=4s$.

Substitute the values, we get

$2m/s^2=\frac{v_f-10m/s}{4s}$

$8m/s=v_f-10m/s$

$v_f=8m/s+10m/s$

$v_f = 18 m/s.$

Thus, the velocity of the body after an interval of 4 second is 18 m/s.

#Learn More: acceleration.

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