# If an object is moving at 5 m/s and accelerates to 35 m/s over 10 seconds, what was the object's rate of acceleration?

Jan 25, 2016

Data:-

Initial Velocity$= {v}_{i} = 5 \frac{m}{s}$

Final Velocity$= {v}_{f} = 35 \frac{m}{s}$

Time Taken$= t = 10 s$

Acceleration=a=??

Sol:-

We know that:

${v}_{f} = {v}_{i} + a t$

$\implies 35 = 5 + a \cdot 10$

$\implies 30 = 10 a$

$\implies a = 3 \frac{m}{s} ^ 2$

Hence, the rate of acceleration is $3 \frac{m}{s} ^ 2$.