When the car's speed increases from 35km/hr to 75km/hr, it travels 60m. What is the car's acceleration?

Equation of motion: These are the mathematical equations used to find the final velocity, displacements, time, and so on of a moving object without taking into account the force acting on it.

These equations are only valid when the body's acceleration is constant and it moves in a straight line.

There are three types of motion equations:

v = u + at

v² =u² +2as

s = ut + ½ at²

Here, v =  final velocity, u =  initial velocity, s =  distance travelled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.

Here, 

u =35 km/h = 9.7 m/s

v = 75 km/h =20.8 m/s

s = 60 m

From the third equation of motion,

v² =u² +2as

$\mathrm{Therefore}, \mathrm{a} = \frac{{\mathrm{v}}^2-{\mathrm{u}}^2}{2\mathrm{s}}$

                              $= \frac{20.8^2-9.7^2}{2\times 60}$

Hence, a = 2.82 m/s²