Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration


Physics For Scientists & Engineers
Found in: Page 49

Answers without the blur.

Just sign up for free and you're in.


Short Answer

A racing car starts from rest at t=0 and reaches a final speed v at time t . If the acceleration of the car is constant during this time, which of the following statements are true?

(a) The car travels a distance vt .

(b) The average speed of the car is v/2.

(c) The magnitude of the acceleration of the car is v/t .

(d) The velocity of the car remains constant.

(e) None of statements (a) through (d) is true.

Hence, options (b) and (c) are correct.

See the step by step solution

Step by Step Solution

Step 1: Given value in the question

The acceleration of the car in the initial state is, v0=0m/s,

Final speed of the car =v

The expression used to calculate the acceleration of the car is given below.

role="math" localid="1663735439132" a=v-v0Δt

Step 2: Substitution of the values in the expression

Put the given value in the expression is:

a=v-0 m/st =vt

So, option (C) is correct.

The displacement of the car to use the following kinetic equation will be


The above equation will be rearranged for x ,that is

x=v2-v022ax=v2-(0m/s)22vt =vt2

Step 3: Determining the value of average speed

The average speed of the car is:

vavg=xt =vt2t =v2

So, option (b) is correct.

Most popular questions for Physics Textbooks


Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.