1.

The motion of a car along y-axis is given by12t + 12, where velocity v is in m/s and timet in seconds. Find the instantaneous position ofthe car as a function of time if at t 0, it wasat 5m. Also find its acceleration at t-2 second.

Answer»

Position of the car is given by Integration of vdt = s = -12t²/2 + 12t + c

and when t = 0 , s = 5 so c = 5

so, S = -6t²+12t+5

also, a = dv/dt = -12 m/s²



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