Question: The motion of a particle is described by the equation $x = a + bt^{2}$ where $a = 15$cm and \(b ...

Question

The motion of a particle is described by the equation $x = a + bt^{2}$ where $a = 15$ cm and $b = 3$ cm. Its instantaneous velocity at time 3 sec will be

Answer 1

Solution

$x = a + bt^{2}$

∴ v = $\frac{dx}{dt} = 0 + 2bt$

At t = 3sec, v = $2 \times 3 \times 3$ = $18cm/sec$ (As $b = 3cm$ )

Question: The motion of a particle is described by the equation \(x = a + bt^{2}\) where \(a = 15\)cm and \(b ...

Solution