   Chapter 2, Problem 4CQ

Chapter
Section
Textbook Problem

(a) Can the equations in Table 2.4 be used in a situation where the acceleration varies with time? (b) Can they be used when the acceleration is zero?Table 2.4 Equations for Motion in a Straight Line Under Constant Acceleration Equation Information Given by Equation v = v0 + at velocity as a function of time Δx = v0t + 1 2 at2 Displacement as a function of time v2 = v 0 2 + 2aΔx  Velocity as a function if displacement Note: Motion is along the x -axis. At t = 0, the velocity of the particle is v

To determine
The use of kinematic equations for varying acceleration.

Explanation

The following table shows the kinematic equations.

 Equation Information given by the equation v=vo+at Velocity as a function of time Δx=vot+(1/2)at2 Displacement as a function of time v2=v02+2aΔx Velocity as a function of displacement

Here,

v is the final velocity

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