   Chapter 2, Problem 29P

Chapter
Section
Textbook Problem

A truck covers 40.0 m in 8.50 s while uniformly slowing down to a final velocity of 2.80 m/s. (a) Find the truck’s original speed. (b) Find its acceleration.

(a)

To determine
The initial velocity of the truck.

Explanation

Given Info:

The final velocity of the truck is 2.80m/s .

The displacement of the truck is 40.0m .

The time is 8.50s .

Explanation:

The formula used to calculate the average velocity is,

v=v+v02

• v¯ is the average velocity
• v is the final velocity
• v0 is the initial velocity

The formula used to calculate the displacement is,

s=v¯Δt

• s is the displacement
• Δt is the time

Substitute (v+v0)/2 for v¯ find s .

s=((v+v0)/2)Δt

Rewrite the equation in terms of v0

(b)

To determine
The acceleration of the truck.

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