The velocity-time graph of a train is shown below. From the graph, find (i) the acceleration of the train during the time interval (a) 0 to 3s (b) 3 to 53s (c) 53 to 57s (ii) the displacement of the train in the first 53s.
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(i) Acceleration = (30-0)/3 = 10 m s^-2
(ii) Acceleration = There is no acceleration from 3s to 53s as the train moves with constant velocity.
(iii) Acceleration = (0-30)/(57-53) = -30 /4 = -7.5 m s^-2(As the sign is negative therefore it is retardation. Retardation = 7.5 m s^-2)
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slope of the velocity-time graph gives acceleration and area under the velocity time graph gives displacement.
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