Use your graph or the table to estimate the car’s acceleration on the time inter

Question

Use your graph or the table to estimate the car’s acceleration on the time interval from 0 s to 2.0 s. Hint: Remember that acceleration is the slope of the velocity graph.

Use your graph or the table to estimate the car’s acceleration on the time interval from 6.0 s to 8.0 s. Hint: Remember that acceleration is the slope of the velocity graph.?

tants ? Part A Does a real automobile have constant acceleration? Measured data for a Porsche 944 Turbo at maximum acceleration are as follows Convert the velocities to m/s, then make a graph of velocity versus time reset ? help vx (mph) +add graphadd pointsdelte graphi graph info v, m/s 40 28 46 60 70 78 4 30 10 20 10 2 4 10

Explanation / Answer

SOLUTION:

Acceleration is the rate of change in velocity.

slope is = (y2 -y1) / (x2 -x1) ..... (here y-axis represents velocity v and x-axis represents time t )

Acceleration = (velocity at time t2 - velocity at time t1) / (t2 - t1)

Note : mph (miles per hou)r is to be converted to m/s (meters per second)

1) t1 = 0s , t2 = 2s, velocity at time t1, v1 = 0 mph = 0 m/s, velocity at time t2, v2 = 28 mph = 12.5171 m / s

Acceleration, a = (v2 - v1) / (t2 - t1)

= (12.5171 - 0 ) / (2 - 0)

= 6.2585 m / s2

2) t1 = 6s , t2 = 8s, velocity at time t1, v1 = 60 mph = 26.8224 m/s, velocity at time t2, v2 = 70 mph = 31.2928 m / s

Acceleration, a = (v2 - v1) / (t2 - t1)

= (31.2928 - 26.8224 ) / (8 - 6)

= 4.4704 / 2

= 2. 2352  m / s2

Please feel free to reach out for further clarification. Thanks.

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