A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 48 ft/s, its height in feet after t seconds is given by y = 48t - 16t². (a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. (i) 0.5 seconds (ii) 0.1 seconds ft/s ft/s (iii) 0.05 seconds

A graphing calculator is recommended. If a ball is thrown into the air with an initial velocity of 48 ft/s, its height in feet after t seconds is given by y = 48t - 16t². (a) Find the average velocity of the ball (in ft/s) for the time interval beginning at t = 2 and lasting for each of the following. (i) 0.5 seconds (ii) 0.1 seconds ft/s ft/s (iii) 0.05 seconds

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

See similar textbooks

Similar questions

Find the instantaneous rate of change for each function at the given value. f(x)=x2+2x at x=0
Find the average rate of change for each function over the given interval. y=x between x=1 and x=4
Can the average rate of change of a function be constant?
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.