The next two questions concern the graph shown below. This graph shows v, the on

Question

The next two questions concern the graph shown below. This graph shows v, the one-dimensional velocity of a cart, as a function of time. The cart started its motion from rest at position x = 0.

1)  Which of the following statements about a2.5, the acceleration of the cart at time t = 2.5 s?, is true?

a2.5 < 0

a2.5 = 0

a2.5 > 0

2)  Which of the following statements about x3, the position of the cart at time t = 3 s?, is true?

x3 < 0

x3 = 0

x3 > 0

3)  A car's initial velocity is along the -x (negative x) direction. As it slows to a stop, its acceleration points in the +x direction.

true

false

Explanation / Answer

Since the slope is negative, the accelation will be less than zero

The area under the curve is always positve, thus the displacment is greater than zero

yes the given statemnt is true since the deceleration is opposite to the direction of motion of the car

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