Just as a car starts to accelerate from rest with acceleration , a bus,
which tire has gone flat slows down at a
rate of . The velocity of the
bus as it passes the car in a parallel lane is
vibus. (a) How long before the
car overtakes the bus? (b) What is the
velocity of the car, when the bus comes to
rest?

In a vernier instrument the main scale is in 1/2 mm divisions .vernier is made by redividing 19 such divisions into 20 equal parts. calculate the least count of the instrument.

When you turn on a battery-operated device, an electrical circuit is

(a) assume the equation x = at^3 + bt describes the motion of a particular object, with x having the dimension of length and t having the dimension of time. determine the dimensions of the constants a and b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.) (b) determine the dimensions of the derivative dx/dt = 3at^2 + b. (use the following as necessary: l and t, where l is the unit of length and t is the unit of time.)