100 POINTS QUESTION. PLEASE PROVIDE EXPLANATION

t = 0, p = 12.0, v = 6.00

t = 20, p = 112, v = 56.0

t = 25, p = 62.0, v = 31.0

Explanation:

Impulse = change in momentum

J = Δp

FΔt = mΔv

The impulse equals the area under the F vs t graph.

At t = 0 s, the initial velocity is 6.00 m/s, so the momentum is:

p = (2.00 kg) (6.00 m/s)

p = 12.0 kg m/s

From t=0 s to t=20 s, the impulse is:

J = (20 N) (5 s) + ½ (20 N) (5 s) + ½ (-10 N) (10 s)

J = 100 Ns

So the new momentum is:

p = 12.0 kg m/s + 100 kg m/s

p = 112 kg m/s

And the new velocity is:

v = (112 kg m/s) / (2.00 kg)

v = 56.0 m/s

From t=20 s to t=25 s, the impulse is:

J = (-10 N) (5 s)

J = -50 Ns

So the new momentum is:

p = 112 kg m/s − 50 kg m/s

p = 62.0 kg m/s

And the new velocity is:

v = (62.0 kg m/s) / (2.00 kg)

v = 31.0 m/s

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