Physics - Kinematics Question with Solution | TestHub

PhysicsKinematics1-DEasy2 minPYQ_2020

PhysicsEasysingle choice

Two cars $P$ and $Q$ start from a point at the same time in a straight line and their positions are represented by $X_{P} (t) = a t + b t^{2}$ and $X_{Q} (t) = f t - t^{2}$ . At what time do the cars have the same velocity?

Options:

Answer:

Solution:

$v_{P} = \frac{d x_{P}}{d t} = a + 2 b t$

$v_{Q} = \frac{d x_{Q}}{d t} = f - 2 t$

$v_{P} = v_{Q}$

$\Rightarrow a + 2 b t = f - 2 t$

$2 t + 2 b t = f - a$

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

Stream:NTA_ABHYASSubject:PhysicsTopic:KinematicsSubtopic:1-D

⏱ 2mℹ️ Source: PYQ_2020

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