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Physics - Kinematics Question with Solution | TestHub

PhysicsKinematics1-DEasy2 minQB

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Passage / Comprehension

Tim and Rick both can run at speed $v_{r}$ and walk at speed $v_{w}$ , with $v_{w} < v_{r}$ . They set off together on a journey of distance $D$ . Rick walks half of the distance and runs the second half. Tim walks half of the time and runs the other half.

Which of the following graphs shows the positions of both Tim and Rick versus time.

Options:

Answer:

B

Solution:

$average speed = \frac{D}{\frac{D}{2 v _{w}} + \frac{D}{2 v _{R}}} = \frac{2 v _{w} v _{R}}{v _{w} + v _{R}}$

$time = \frac{D}{speed} = \frac{D ( v _{w} + v _{R} )}{2 v _{w} v _{R}}$

\begin{center}

$average speed = \frac{v _{w} + v _{R}}{2} time = \frac{2 D}{v _{w} + v _{R}}$

Stream:JEESubject:PhysicsTopic:KinematicsSubtopic:1-D

⏱ 2mℹ️ Source: QB

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