Question: A grapefruit is tossed straight up with an initial velocity of 50 ft/sec. The grapefruit is 5 feet above the ground when it is released.

A grapefruit is tossed straight up with an initial velocity of 50 ft/sec. The grapefruit is 5 feet above the ground when it is released. Its height, in feet, at time t seconds is given by

y = −16t² + 50t + 5.

How high does it go before returning to the ground?

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We want to maximize the height y of the grapefruit above ... 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 Applied Calculus Questions!

A projectile is shot straight up with an initial velocity of 512 ft per second. Its height above the ground after t seconds is given by s(t) = 512t - 16t 2 . (a) Find the velocity and acceleration...

A ball is thrown straight up with an initial velocity of 196 feet/sec. So the height is given by h(t)=224t-16t^2 a. find average velocity of the ball over the interval (2, 2.1) b. when will the ball...

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...

x x2+1' Find the local minima and maxima off(x) = 2. Find the local minima and maxima of M35) 2 xe'x. 3.ldentify the global minimum and maximum off(x) = |x| 3 on the intervals a) [-2.5] b) (00, 00)...

I In Exercises 14-21, find the exact global maximum and minimum values of the function. The domain is all real numbers unless otherwise specified. I In Exercises 2227, find the best possible bounds...

A grapefruit is tossed straight up with an initial velocity of 5 0 f t s e c . The grapefruit is 5 feet above the ground when it is released. Its height, in feet, at time t seconds is given by y = -...

A grapefruit is tossed straight up with an initial velocity of $ 0 telsec. The grapefruit is 3 feet above the ground when it is released. Its helght at time t is given by y = - 1 6 r 2 5 0 r 3 How...

In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given point, and determine an equation of the tangent line.M 17. f(x)=2x+7 at (2, 11) erg griwollot ST YATZ...

1. [-I4Points] ETAILS l MYNOTES ll ASKYOURTEACHER l The height of an object launched straight up is h(t) = 100 + 64t 16t2 where t is measured in seconds and his measured in feet. Answer the following...

could you explain to me how to solve these questions? 1. [-/10 Points] DETAILS MY NOTES The position of a particle P on a line / is given by s(t) = to - 6t, where s(t) is in feet and t is in seconds....

Suppose a stranded island is discovered by two best friends: Dante and Joan. Excitedly they run to their yacht to tell everyone but they find their only mode of transportation has spontaneously...

Tasty Beverage Co. produces soft drinks, specializing in fruit drinks. Tasty produces 6,600 cans of product per batch. Setup cost for each batch is $40 and each drink costs $0.10 to produce. a. What...

Which of the following is true regarding potential concerns when selecting a measure of the risk - free rate when estimating the CAPM? Select all that apply. When we select the riak - free rate, we...

=+30. Journalized the employers payroll taxes on the payroll. Dec. 1. Journalized the payment of the September 2 note at maturity.

Suppose we want to use the procedure in Problem 8.49 using a one-sided test in which the alternative hypothesis is that men have higher cholesterol levels than women. State the hypotheses being...

Perform the test in Problem 8.66 for the medical therapy group, and report a p-value? Cardiology A clinical trial compared percutaneous transluminal coronary angioplasty (PTCA) with medical therapy...

What test can be performed to compare the mean change in duration of exercise between the two treatment groups? Cardiology A clinical trial compared percutaneous transluminal coronary angioplasty...

\ What is the 2025 number? Thank you ! Please explain how to solve as well, Required information Exercise 11-2 (Static) Depreciation methods [LO11-2] [The following information applies to the...

Required information [The following information applies to the questions displayed below. Most Company has an opportunity to invest in one of two new projects. Project Y requires a $350,000...

Pryce Company owns equipment that cost $67,950 when purchased on January 1, 2012. It has been depreciated using the straight-line method based on estimated salvage value of $8,500 and an estimated...