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A $50\text{ kg}$ box of equipment is moving at $2\text{ m/s}$. A $25\text{ Newton}$ force acts on the box for a time of $10\text{ seconds}$.

A group of students is attempting to solve for the final speed of the cart after the ten seconds, and each one has a different approach.

Which student has a valid method for solving the problem? Choose TWO answers.

A

Student one calculates the acceleration of the cart from the force and the mass and uses kinematics to solve for the final speed.

B

Student two graphs the force vs. time, determines the slope of the graph and uses that to calculate the final speed.

C

Student three graphs force versus time. The area is the impulse which is the final momentum of the cart and can give final speed.

D

Student four calculates the initial momentum of the cart and the impulse given to the cart. Adding those gives the final momentum and the final speed.

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