A particle moves in the x y -plane such that its position, velocity, and acceleration are given by r = x i ^ + y j ^ , v = v x i ^ + v y j ^ , and a = a x i ^ + a y j ^ . Which of the following conditions is correct if the particle is speeding down?

For speeding down a . v < 0 ⇒ a x v x + a y v y < 0

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PhysicsKinematics2-D & 3DEasy2 minQB

PhysicsEasysingle choice

A particle moves in the $x y$ -plane such that its position, velocity, and acceleration are given by $r = x \hat{i} + y \hat{j}$ , $v = v_{x} \hat{i} + v_{y} \hat{j}$ , and $a = a_{x} \hat{i} + a_{y} \hat{j}$ . Which of the following conditions is correct if the particle is speeding down?

Options:

Answer:

Solution:

For speeding down $a . v < 0 \Rightarrow a_{x} v_{x} + a_{y} v_{y} < 0$

Stream:JEESubject:PhysicsTopic:KinematicsSubtopic:2-D & 3D

⏱ 2mℹ️ Source: QB

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