Question

If an object starting from rest travels 625m when its velocity becomes 125m/s, then what will be the acceleration?

Answer 1

To find the acceleration of the object, we can use the kinematic equation:

$v^2=u^2+2as$

where: $v$ = final velocity = 125 m/s $u$ = initial velocity = 0 m/s (starting from rest) $s$ = displacement = 625 m $a$ = acceleration (what we need to find)

Since the object starts from rest ($u=0$), we can simplify the equation to:

$v^2=2as$

Now, we can plug in the given values and solve for acceleration ($a$):

$125^2=2\times a\times 625$

$15625=1250a$

Now, isolate $a$ by dividing both sides of the equation by 1250:

$a=\frac{15625}{1250}=12.5{\text{m/s}}^2$

So, the acceleration