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A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: $v_{x} = 3 {ms}^{- 1}$ , $v_{y} = 4 {ms}^{- 1}$ , $a_{x} = 2 {ms}^{- 2}$ and $a_{y} = 1 {ms}^{- 2}$ . The rate of change of speed at this moment is

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detailed solution

Correct option is D

Speed, v=vx2+vy2Rate of change of speed,dvdt=2vxdvxdt+2vydvydt2vx2+vy2=vxax+vyayvx2+vy2=(3×2)+(4×1)(3)2+(4)2=2m/s2

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A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: vx=3ms−1, vy=4ms−1, ax=2ms−2 and ay=1ms−2. The rate of change of speed at this moment is

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Ready to Test Your Skills?

free study material

A particle is moving in the x-y plane. At certain instant of time, the components of its velocity and acceleration are as follows: $v_{x} = 3 {ms}^{- 1}$ , $v_{y} = 4 {ms}^{- 1}$ , $a_{x} = 2 {ms}^{- 2}$ and $a_{y} = 1 {ms}^{- 2}$ . The rate of change of speed at this moment is