Question: A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Assume the acceleration of the ball is

A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Assume the acceleration of the ball is a(t) = -32 feet per second per second. (Neglect air resistance.)
(a) How long will it take the ball to rise to its maximum height? What is the maximum height?
(b) After how many seconds is the velocity of the ball one half the initial velocity?
(c) What is the height of the ball when its velocity is one-half the initial velocity?

Step by Step Solution

★★★★★

3.48 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 3 se... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

An object thrown directly upward from ground level with an initial velocity of 48 feet per second is s = 48t - 16t2 feet high at the end of t seconds. (a) What is the maximum height attained? (b) How...

If an object is projected upward from ground level with an initial velocity of 32 ft per sec, then its height in feet after t seconds is given by s(t) = -16t 2 + 32t. Find the number of seconds it...

A rock is projected directly upward from ground level with an initial velocity of 90 ft per sec. (a) Give the function that describes the height of the rock in terms of time t. (b) Determine the time...

Solve please and thank you 11. Velocity and Acceleration A ball is thrown vertically upward from ground level with an initial velocity of 96 feet per second. Use a(f) = -32 feet per second per second...

A ball is thrown vertically upward from ground level with an initial velocity of 9 6 feet per second. Assume the acceleration of the ball is a ( t ) = 3 2 feet per second per second. ( Neglect air...

ANSWER ALL THESE QUESTIONS 1 THROUGH 10 ENTIRELY. REMEMBER, (YOU ONLY HAVE TO SELECT THE RIGHT ANSWER FOR EACH QUESTION) BUT FOR QUESTIONS 3, 6 AND 10, YOU ARE REQUIRED TO SHOW YOUR WORK AND ALSO...

Second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 50 feet per second. How high will the ball go? Using the Fundamental...

For question 10 don't use physics formula, use integration process 10. A ball is thrown vertically upward from the ground with an initial velocity of 40 feet per second. How high will the ball go?...

Please show all the steps below 9. Use the limit process to find the area of the region between the graph of the function f(x) = -x' + 9 and the x-axis over the interval [0, 3]. 10. A ball is thrown...

12. Find the area of the region bounded by y = (x + 2}2 1, the xaxis, x=-1,andx=2. 5n 6 13. Use the Fundamental Theorem of Calculus to evaluate: I I csc22:dx n72 x 1 14. Consider F(x) =12? 1+t5 (it...

A social worker notices that some of her most anxious clients often come to see her with coffee mugs in hand. Wondering if their anxiousness (X) is related to their amount of caffeine consumption...

Use the following ERD to answer the accompanying questions. 1. What is the relationship between the two tables in the ERD? 2. What is the cardinality of the relationships?

Bank Recencliation \ table [ [ 1 , Raluset per Cash asmonl. Aoril 3 , 1 6 , 4 2 . 1 9 ] , [ 2 , , 1 4 9 3 2 3 ] , [ 3 , Depous Nof nheated se bank ruteried., 5 1 5 ] , [ 4 , Outlanding chachs,...

6 Explain five strategies for using communication technology successfully

In Exercises find the area of the region. y = tanh 2x -3 -2 I 3 2 1 y -2- -3+ 1 2 3

In Exercises find the indefinite integral. S x sech x dx

In Exercises find the indefinite integral. sech x tanh x dx

Question 9 0.5 pts PES Spice Incorporated has the following inventory data: Nov. 1 Inventory 30 units for $5.20 per unit 8 Purchase 150 units for $5.00 per unit 17 Purchase 70 units for $5.40 per...

Carmen Camry operates a consulting firm called Help Today, which began operations on December 1. On December 31 the companys records show the following selected accounts and amounts for the month of...

On December 30, you make a $5,100 charitable donation. a. If you are in the 35 percent tax bracket, how much will you save in taxes for the current year? (Assume your other itemized deductions exceed...