The force vs. time graphs for two collisions are shown. which collision has the largest impulse?

the force vs. time graphs for two collisions are shown. which collision has the largest impulse?

A. The Impulses are the same

B. The impulse for collision 2 since it lasts longer.

C. The impulse for collision 1 since it has the larger maximum force.

D. Connot be determined since the initial and final speeds are unknown.

E. Cannot be determined since the masses are unknown.

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Answer:

impulse is given as J= F.dt
incase of impulse 1
it is F(1-0.5) = 4*0.5 = 2Ns

in case of impulse 2 it is = 2(2.5-1.5) = 2 Ns

so, the correct answer is A) Both the impulses are same