Question

A 1000 kg vehicle moving at a speed of 10 M per second is brought to rest in a distance of 50 m by the application of brakes calculate its acceleration the force acting on the vehicle

Answer 1

Initial velocity, u = 10 m/s
Final velocity, v = 0
Displacement, s = 50 m 
$v^{2} - u^{2} = 2as$
0-100 = 2*a*50
a = 1 m/$s^{2}$
F= ma = 1000*1 = 1000 N