Answered: 10. A certain car increases its speed…

10. A certain car increases its speed uniformly from 22.0 m/s to 37.0 m/s in a distance of 1.99 x 10? m. a. What is its acceleration? b. How long does it take for the car travel the given distance?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

10. A certain car increases its speed uniformly from 22.0 m/s to 37.0 m/s in a distance of 1.99 x 10? m.
a.
What is its acceleration?
b. How long does it take for the car travel the given distance?

Expert Solution

Step 1

Answer:-

Given

Initial speed (u) = 22.0 m/s

Final speed (v) = 37.0 m/s

Distance travelled (S) = 1.99 × 10² m

(a) we know that

V² = u² + 2aS

(37.0)² = (22.0)² + 2 × a × (1.99 × 10²)

1369 = 484 + 2 × a × 199

1369 - 484 = 398 a

398 a = 885

a = 885 / 398

a = 2.2 m/s²

Acceleration (a) = 2.2 m/s²

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