Figure shows the velocity vs time graph for two cars accelerating from 0 to 100 km/h in 10 sec.?

Compare (a) instantaneous acceleration at t = 0 s and 10 s, (b) average acceleration, (c) total distance

travelled by two cars.

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1 Answer

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  • 1 month ago

    car A has higher acceleration at t=0 as its slope is steeper at that time. 

    from the curves, A is 45 km/hr/s, B is 20 km/hr/s

    car B has higher acceleration at t=10 as  its slope is steeper at that time. 

    from the curves, A is 5 km/hr/2s = 2.5 km/hr/s, B is twice that. 

    average acceleration is ΔV/Δt

    since the change in velocity is the same for both, time is same, average acceleration is the same, at 10 km/hr/s

    distance is the integral of the velocity vs time curve, which is the area under the curve. Car A's curve has a larger area under it, so it travels a longer distance. 

     

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