Mohan bought a new car and wanted to test it on highways. He thought he will find out the acceleration of his car at different velocities in the first 6 seconds. He called his friend Shyam and told him to sit alongside him and note down the different speeds. Shyam prepared the following (graph 1) graph. Mohan’s son, who studied in 9th class wanted to do an experiment with the car. He had recently learned a peculiar thing about circular motion and coerced his father to take the car to a circular track and drive at constant speed.
(a)Find out the car’s acceleration from A to B. (b) Find out the car’s acceleration from B to C. (c) What did Mohan and their son notice when they drove their car in the circular track?
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Where is the graph?
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Answer:
Explanation:
(a) a = (25 - 0) / (3 - 0) = 8.3 m/s2
(b) a = 17 - 25 ) / (4 - 3) = -8 m/s2
(c) Distance = Area of triangle ABE = 1 / 2 × 3 × 25 = 37.5 m
(d) V = (17 - 0) / 2 = 13.75 m/s
(e) This Distance = Area of trapezium BCFE
= 1 / 2 (25 + 17) × (4 - 3) = 21m
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