CBSE Class 11-science Answered
The motion of a car is represented by equation x = 3t^2 + 2t + log t. Calculate it's instantaneous at t = 4 seconds .How can you calculate it from graph ?
Asked by kaurramneet501 | 27 Jun, 2019, 04:35: PM
Expert Answer
It is assumed x is displacement in m, t is time in seconds. It is assumed logarithm given in equation for x is natural logarithm.
It is assumed that it is required to get instantaneous velocity at t= 4 s.
displacement x = 3t2 + 2t + log(t) m
velocity, dx/dt = 6t + 2 + (1/t) m/s
instantaneous velocity at t= 4, (dx/dt)t=4 = 6(4) + 2 + (1/4) = 26.25 m/s
Figure-1 shows the displacement-time graph. If we find slope at t=4, we get instantaneous velocity at t= 4
Figure-2 shows Velocity-time graph, we get instantaneous velocity at t=4 directly from graph
Answered by Thiyagarajan K | 27 Jun, 2019, 08:27: PM
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