Question

An automobile being tested on a straight road is 400 feet from its starting point when the stopwatch reads 8.0 seconds and is 550 feet from the starting point when the stopwatch reads 10.0 seconds.

A. What was the average velocity of the automobile during the interval from t = 10.0 seconds to t = 8.0 seconds
B. What was the average velocity of the automobile during the interval from t - Ostot - 10.0 s? (Assume that the stopwatch read t = 0 and started at the same time as the auto.)
C. If the automobile averages 100 ft/s from t - 10.0 stot - 20.0 s, what distance does it travel during this interval?
D. The automobile has a special speedometer calibrated in feet/s instead of in miles/hour. Att 85 the speedometer reads 65 ft/s; and at t = 10 s it reads 80 ft/s. What is the average acceleration during this interval?

Answer 1

a) v = 75 ft / s , b) v = 55 ft / s , c) Δx = 1000 ft

Step-by-step explanation:

We can solve this exercise with the expressions of kinematics

a) average speed is defined as the distance traveled in a given time interval

v = (x₂-x₁) / (t₂-t₁)

v = (550 - 400) / (10 -8)

v = 75 ft / s

b) we repeat the calculations for this interval

v = (550 - 0) / (10 -0)

v = 55 ft / s

c) we clear the distance from the average velocity equation

Δx = v (t₂ -t₁)

Δx = 100 (20-10)

Δx = 1000 ft