Question: Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet. (a) Find parametric equations

Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet. 

(a) Find parametric equations that model the motion of the ball as a function of time. 

(b) How long is the ball in the air? 

(c) When is the ball at its maximum height? Determine the maximum height of the ball. 

(d) Simulate the motion of the ball by graphing the equations found in part (a).

Step by Step Solution

★★★★★

3.42 Rating (177 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a Use equations 1 x 40 cos 90 t 0 1 y32t 40sin 90t 5 16t 40t5 b The ball is in the air until y 0 ... View full answer

blur-text-image
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!

Q:

Bob throws a ball straight up with an initial speed of 50 feet per second from a height of 6 feet. (a) Find parametric equations that model the motion of the ball as a function of time. (b) How long...

Q:

In physics, it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft/sec from ground level is s = s(t) = - 16t 2 + 96t where t is the elapsed time that the ball is in...

Q:

In physics, it is shown that the height s of a ball thrown straight up with an initial speed of 96 ft sec from a rooftop 112 feet high is s = s(t) = -16 t 2 + 96t + 112 where t is the elapsed time...

Q:

Projectile Motion: Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet. a. Find parametric equations that model the motion of the ball as a function of...

Q:

Tien Le 03/27/22 3:16 PM @ Test: Test 3 [Lessons 13-19] Question 4 of 19 This test: 38 point(s) possible This question: 4 point(s) possible Submit test Bob throws a ball straight up with an initial...

Q:

Bob throws a ball straight up with an initial speed of 52 feet per second from a height of 7 feet (a) Find parametric equations that describe the motion of the ball as a function of time. (b) How...

Q:

Please help me with the following questions. 1. The polar coordinates of a point are given. Find the rectangular coordinates of the point. 5 , 3 513 O A. N U 2 5 513 O B. 2 513 O c. 2 5 513 OD. 2'...

Q:

Ron throws a ball straight up with an initial speed of 50 feet per second from a height of 6 feet. Find parametric equations that describe the motion of the ball as a function of time. How long is...

Q:

The heights of a ball after t seconds when thrown straight up with an initial speed of 70 feet per second from an height of 5 feet can be modeled by the equation s 16t 70t 5 a When will the height of...

Q:

I need help with these 7 questions. Thank you! Find an equation for the hyperbola described. Graph the equation by hand. Foci at (0, - 5) and (0.5); vertex at (0,3) E> An equation of the hyperbola is...

Q:

Find the probability of tossing a tail and spinning a number less than 6. a. Find the number of outcomes in the event. b. Find the probability of the event.

Q:

To calculate the net receivables to be reported on the balance sheet at year-end, a.add the balance of Allowance for Doubtful Accounts to Accounts Receivable. b.subtract the balance of Allowance for...

Q:

Why might a portfolio manager decide to tilt a portfolio into fixed income? The portfolio manager believes fears of a recession are overdone and there will only be a slight increase in inflation. The...

Q:

5. "The MM thesis is based on unrealistic assumptions.' Evaluate the reality of the assumptions made by MM.

Q:

For the following exercises, make tables to show the behavior of the function near the vertical asymptote and reflecting the horizontal asymptote. f(x)= = 1 x-2

Q:

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Roots of multiplicity 2 at x = 1/2 and roots of multiplicity 1 at x = 6 and x = 2....

Q:

For the following exercises, use your calculator to graph the polynomial function. Based on the graph, find the rational zeros. All real solutions are rational. f(x) = 12x 4 + 55x 3 + 12x 2 117x + 54

Q:

Present Value of an Annuity Find the present value of the following ordinary annuities . Round your answers to the nearest cent. ( Notes: If you are using a financial calculator, you can enter the...

Q:

Please Help! It's 6 questions and I promise I'll rate well! I have a test tomorrow and this is part of the review sheet Question 2) Which of the following statements concerning manufacturing costs is...

Q:

which of the following queries is used tot determine how many customers belong to the Rochester city from the Customer table