A vehicle moving with the velocity of 25 m/s stops after 5 second.
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Let’s review the 4 basic kinematic equations of motion for constant acceleration (this is a lesson – suggest you commit these to memory):
s = ut + ½at^2 …. (1)
v^2 = u^2 + 2as …. (2)
v = u + at …. (3)
s = (u + v)t/2 …. (4)
where s is distance, u is initial velocity, v is final velocity, a is acceleration and t is time.
In this case, we know u = 25m/s, v = 0, t = 5s and we want to find acceleration, a, so we use equation (3)
v = u + at
0 = 25 + 5a
a = -25/5 = -5m/s^2
So the acceleration is -5m/s^2 (negative meaning retardation)
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