The speed at 10 sec is ...(true/false/greater than/Less than/equal to)....the sp

Question

The speed at 10 sec is ...(true/false/greater than/Less than/equal to)....the speed at 79 sec The x-acceleration is ...(true/false/greater thanLess than/equal to).... zero at 15 sec The speed is... (true/false/greater than/equal to) ...zero at 20 sec The x-acceleration is ...(true/false/greater than/Less than equal to)... zero at 4 sec t At 46 sec, the speed is as high as it gets. The acceleration magnitude at 15 sec is ...(true/false/greater than/Less than/equal to)... the acceleration magnitude at 38 sec. A car travels a certain distance along a straight road (in the +x direction). The distance the car travels as a function of time is shown in the figure below. When the car changes speed it does so uniformly. Select the appropriate choice for each statement.

Explanation / Answer

a) The speed is the rate of change of distance with time which will be given by the slope of the distance time graph.

The slope of the curve at t = 10 s is less than the slope of the curve at time t = 79 s. So the speed at t= 10 s is less than the speed at t = 79 s

b) True

The position-time graph is linear and so the speed is constant results in zero acceleration.

c) True

at t= 20 s, the distance is not changing so it is at rest position as slope is zero.

d) true

At t = 4 sec the slope of the curve is constant as it is linear so acceleration is zero.

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