Question

The Graph above shows the speed of a car traveling in a straight line as a function of time. The car accelerates uniformly and reaches a speed Vb of 4.00 m/s in 8.00 seconds. Calculate the distance traveled by the car from a time of 2.00 to 5.90 seconds.

Answer 1

Answer:

Where is the graph??

If a car travels from zero to 4 m/s ins 8 sec

a = 4 / 8 = .5 m/s^2

V (2) = 2 * .5 = 1 m/s after 2 sec

S = V t + 1/2 a t^2

S = 1 * 3.9 + 1/2 * 1/2 *3.9^2 = 3.9 + 3.80 = 7.70 m   from 2 to 5.9  sec

Check:

Total distance traveled = 1/2 a t^2 = 5.9^2 / 4 = 8.70 m

Distance traveled in 2 sec = 1/2 * 1/2 * 4 = 1 m

Total distance from 2 to 5.9 = 8.7 - 1 = 7.7 m agreeing with thw above