Question

The velocity of an object changes from 10 m/s to 25 m/s in 5 seconds at uniform rate. The acceleration of object is [1] (1) 5 m/s2 (2) 3 m/s2 (3) 15 m/s2 (4) Zero

Answer 1

Given:

Initial velocity = 10 m/s

Final velocity = 25 m/s

Time = 5 seconds

To find:

The acceleration of the object

Solution:

We know the first equation of motion is given as,

$\boxed{\bold{v\:=\:u\:+\:at}}$

by rearranging this equation, we get

⇒ $\boxed{\bold{a\:=\:\frac{v\:-\:u\:}{t}}}$

where

a = acceleration

v = final velocity

u = initial velocity

t = time

Now, we will substitute the given values of v, u and t in the above formula to find the value of a.

∴ $a\:=\:\frac{v\:-\:u\:}{t}$

⇒ $a\:=\:\frac{25\:-\:10\:}{5}$

⇒ $a\:=\:\frac{15}{5}\:\times\:\frac{m/s}{s}$

⇒ $\bold{a\:=\:3 \:m/s^2}$

Thus, the acceleration of the object is 3 m/s².

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Answer 2

Given:

Time, t = 5 seconds

Initial velocity, u = 10 m/s

Final velocity, v = 25 m/s

To find:

Acceleration, a = ?

Solution:

As we know,

⇒  $v=u+at$

then,

⇒  $a=\frac{v-u}{t}$

On putting the given values in the above formula, we get

⇒  $a=\frac{25-10}{5}$

⇒  $a=\frac{15}{5}$

⇒  $a=3 \ m/s^2$

So that the acceleration of the object will be "3 m/s²".