First slide

Instantaneous velocity

Question

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by x_P(t)= at+bt² and x_Q(t)= ft-t². At what time do the cars have the same velocity

Moderate

A

$\frac{a + f}{2 (1 + b)}$
B

$\frac{f - a}{2 (1 + b)}$
C

$\frac{a - f}{1 + b}$
D

$\frac{a + f}{2 (b - 1)}$

Solution

Given, x_P(t) = at + bt² and x_Q(t) = ft - t²
Hence v_P(t) = a+2bt and v_Q(t) = f -2t
As v_p=v_Q, a+2bt = f - 2t.
Therefore $t = \frac{f - a}{2 (1 + b)}$ .

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App