6. A train moving with a velocity of 20 m s' is brought
to rest by applying brakes in 5 s. Calculate the retardation
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Step-by-step explanation:
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 + ½ at^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 = 20m/s, v = 0 and t = 5s, and we want to find a, so we apply equation (3)
v = u + at
0 = 20 + 5a, so a = -4m/s^2
The acceleration (“retardation”) is -4m/s^2
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