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1. A car that was initially at rest accelerated due east at the rate of 4.5 m/s 2 for 4 seconds. After the acceleration, the

1. A car that was initially at rest accelerated due east at the rate of 4.5 m/s2 for 4 seconds. After the acceleration, the car cruised at a constant velocity for 9 seconds and started slowing down at the rate of 2.1 m/s2 to stop at the red light. In this problem, indicate the direction in your answers by east, west, north, or south.

(a)

What is the velocity of the car at the end of the acceleration?

(b)

What was the displacement of the car during the time it was accelerating?

(c)

What was the displacement of the car during the time it was cruising at the constant velocity? (Hint: use the velocity you found in part (a) for the initial velocity.)

(d)

How many seconds did it take the car to come to a stop?

(e)

What was the displacement of the car during the time it was slowing down to stop?

2. A cart with a mass of 67 kg is at rest on a floor, and it can move either to the right or to the left. Ignore frictional forces except for part (d).

(a)

Anthony pulls the cart to the right with 279 N of force. What is the acceleration (both magnitude and direction) of the cart?

(b)

Amanda and Brittany pull the cart at the same time. Amanda pulls the cart to the right with 75 N of force, and Brittany pulls the car to the left with 123 N of force.

1. What is the net force (both magnitude and direction) on the cart?

2. What is the acceleration (both magnitude and direction) of the cart?

(c)

Andrew and Bill pull the cart at the same, and the cart accelerates to the left at the rate of 1.3 m/s2. What is the force (both magnitude and direction) that Andrew applies on the cart if Bill pulls the cart to the left with 324 N of force?

(d)

Adam and Benjamin pull the cart at the same time, and there is a frictional force of the magnitude 40 N between the cart and the floor. The cart accelerates to the right at the rate of 1.4 m/s2. What is the force (both magnitude and direction) that Benjamin applies on the cart if Adam pulls the cart to the right with 235 N of force? (Hint: the direction of frictional force always points in the opposite direction from the direction of the motion of the object.)

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