Question

The motion of a particle is described by the equation x= a + bt^2 where a = 15 and b = 3cm. Find its instantaneous velocity at time 3 sec?

Answer 1

Ans. The instantaneous velocity can be obtained by diferenation
$dx \div dt = 2bt \: \: \: \\ v = (2 \times 3 \times 3)cm \div s \\ v = 18m \div s$