A car starts at rest from one station A and is uniformly accelerated until it reaches a speed of 25 m/s. It then travels with this speed until the brakes are applied and brought the car to rest with a uniform retardation at the next station B. The magnitude of the retardation is three times the magnitude of the acceleration. The distance between the two station is 8 km and the time taken for the journey is 6 minutes.

Question

(a) Draw V – t graph for the information
(b) From the graph find the distance travelled at the constant speed
(c) The time taken at the constant speed.
(d) the initial acceleration.

Answer 1

(a) a sloping line up to v=25, a horizontal segment, a segment sloping back down to v=0
(b) distance = speed * time
(c) the length of the horizontal segment
(d) the slope of the first section.

Answer 2

Solution

Answer 3

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Answer 4

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Answer 5

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Answer 6

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