Two cars A and B are moving with a speed of 15 ms- 1 and 5 ms- 1 and acceleration of the cars are 1 ms- 2 and 6 ms- 2 respectively. Then the minimum separation between them is

Question

Two cars A and B are moving with a speed of 15 ms- 1 and 5 ms- 1 and acceleration of the cars are 1 ms- 2 and 6 ms- 2 respectively. Then the minimum separation between them is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-aedmb5sovbjfwc44.jpg" /> (A) 5 m (B) 10 m (C) Zero (D) None

Tardigrade Admin · Accepted Answer

vA B=10ms- 1,aA B=-5ms- 2 sA B=10t-(5/2)t2 Minimum displacement of A w.r.t. B sA B min is at t=(10/5)=2 Minimum separation =20-10=10m

Q. Two cars $A$ and $B$ are moving with a speed of $15$ $m s^{- 1}$ and $5 m s^{- 1}$ and acceleration of the cars are $1 m s^{- 2}$ and $6 m s^{- 2}$ respectively. Then the minimum separation between them is

$5 m$

$10 m$

Zero

None

$v_{A B} = 10 m s^{- 1}, a_{A B} = - 5 m s^{- 2}$
$s_{A B} = 10 t - \frac{5}{2} t^{2}$
Minimum displacement of A w.r.t. B
$s_{A B_{m i n}}$ is at $t = \frac{10}{5} = 2$
Minimum separation $= 20 - 10 = 10 m$

Q. Two cars A and B are moving with a speed of 15 ms−1 and 5ms−1 and acceleration of the cars are 1ms−2 and 6ms−2 respectively. Then the minimum separation between them is

5m

10m