A car is initially at rest at time t=0. 17.2 seconds later, the car has reached a speed of 16 m/s. What was the magnitude of the car's average acceleration over this stretch of time?

a
=
_
_
_
_
_
_
m
/
s
2

Question

A car is initially at rest at time t=0. 17.2 seconds later, the car has reached a speed of 16 m/s. What was the magnitude of the car's average acceleration over this stretch of time?

a
=
_
_
_
_
_
_
m
/
s
2

BlackTom AI · Accepted Answer

A car starts from rest, so initial velocity v_i = 0 m/s. The final velocity after 17.2 s is v_f = 16 m/s. The average (constant) acceleration over this interval is defined by a_avg = (v_f − v_i) / Δt.

Plugging in the values: Δt = 17.2 s, v_f − v_i = 16 m/s − 0 m/s = 16 m/s.

Therefore, a_avg = 16 m/s ÷ 17.2 s ≈ 0.931 m/s^2.

For reporting with two significant figures, this can be written as 0.93 m/s^2. The units come from velocity (m/s) divided by time (s), yielding m/s^2.

Key steps to understand: recognize that starting from rest implies v_i = 0, identify the time interval over which the velocity changes, apply the definition of average acceleration as the rate of change of velocity, and perform the division with proper attention to units and significant figures.

A car is initially at rest at time t=0. 17.2 seconds later, the car has reached a speed of 16 m/s. What was the magnitude of the car's average acceleration over this stretch of time? a = _ _ _ _ _ _ m / s 2

View Explanation

Log in for full answers

Similar Questions

Question at position 3 In Example 16 (p. 49), what is the cyclist's average acceleration for the entire trip (i.e., from 0 s to 1800 s)? -2 ms2\frac{m}{s^2}-1 ms2\frac{m}{s^2}-0.0006 ms2\frac{m}{s^2}0 ms2\frac{m}{s^2}0.0006 ms2\frac{m}{s^2}1 ms2\frac{m}{s^2}2 ms2\frac{m}{s^2}Clear my selection

Referring to Figure 1.10 in Chapter 1 of the text (reproduced below), compare the magnitudes of the average accelerations for Hare and the Tortoise.

Calculate average acceleration from 0 to 40 m. NOTE: SI unit symbol must be provided and round to three (3) significant figures.

A car increases its speed from 9.5 meters per second to 13.6 meters per second in 3.3 seconds. What is the average acceleration of the car during this time interval?

A car increases its speed from 8.4 meters per second to 11.7 meters per second in 4.3 seconds. What is the average acceleration of the car during this time interval?

Referring to Figure 1.10 in Chapter 1 of the text (reproduced below), compare the magnitudes of the average accelerations for Hare and the Tortoise.

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler