Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 47

please assume the free-fall acceleration \(g=9.80 \mathrm{m} / \mathrm{s}^{2}\) unless a more precise value is given in the problem statement. Ignore air resistance. Grant Hill jumps \(1.3 \mathrm{m}\) straight up into the air to slamdunk a basketball into the net. With what speed did he leave the floor?

Short Answer

Expert verified
Answer: Grant Hill's initial speed was approximately 5.05 m/s.

Step by step solution

01

Determine the final velocity at the highest point

At the highest point of the jump, Grant Hill's final velocity will be 0 (v = 0)
02

Write down the given values and the kinematic equation

We have: - Final velocity, \(v = 0 \ \mathrm{m} / \mathrm{s}\) - \(g = 9.80 \ \mathrm{m} / \mathrm{s^2}\) - Displacement, \(s = 1.3 \ \mathrm{m}\) We'll use the kinematic equation: \(v^2 = u^2 + 2as\)
03

Substitute the values in the equation

Substitute the values in the equation: \(0^2 = u^2 + 2(- 9.80) (1.3)\)
04

Solve the equation for initial speed (u)

Solving for \(u\): \(u^2 = 0 - 2(-9.80)(1.3)\) \(u^2 = 25.48\) \(u = \sqrt{25.48}\) (since we're looking for the positive value of speed) \(u \approx 5.05 \ \mathrm{m} / \mathrm{s}\) So, Grant Hill left the floor with an initial speed of approximately \(5.05 \ \mathrm{m} / \mathrm{s}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In a game against the White Sox, baseball pitcher Nolan Ryan threw a pitch measured at \(45.1 \mathrm{m} / \mathrm{s} .\) If it was \(18.4 \mathrm{m}\) from Nolan's position on the pitcher's mound to home plate, how long did it take the ball to get to the batter waiting at home plate? Treat the ball's velocity as constant and ignore any gravitational effects.
A train is traveling south at \(24.0 \mathrm{m} / \mathrm{s}\) when the brakes are applied. It slows down with a constant acceleration to a speed of $6.00 \mathrm{m} / \mathrm{s}\( in a time of \)9.00 \mathrm{s} .$ (a) Draw a graph of \(v_{x}\) versus \(t\) for a 12 -s interval (starting \(2 \mathrm{s}\) before the brakes are applied and ending 1 s after the brakes are released). Let the \(x\) -axis point to the north. (b) What is the acceleration of the train during the \(9.00-\mathrm{s}\) interval? \((\mathrm{c})\) How far does the train travel during the $9.00 \mathrm{s} ?$
please assume the free-fall acceleration \(g=9.80 \mathrm{m} / \mathrm{s}^{2}\) unless a more precise value is given in the problem statement. Ignore air resistance. A student, looking toward his fourth-floor dormitory window, sees a flowerpot with nasturtiums (originally on a window sill above) pass his \(2.0-\mathrm{m}\) high window in 0.093 s. The distance between floors in the dormitory is $4.0 \mathrm{m} .$ From a window on which floor did the flowerpot fall?
For the train of Example \(2.2,\) find the average velocity between 3: 14 P.M. when the train is at \(3 \mathrm{km}\) east of the origin and 3: 28 P.M. when it is \(10 \mathrm{km}\) east of the origin.
In the problems, please assume the free-fall acceleration $g=9.80 \mathrm{m} / \mathrm{s}^{2}$ unless a more precise value is given in the problem statement. Ignore air resistance. At 3: 00 P.M., a bank robber is spotted driving north on I-15 at milepost $126 .\( His speed is \)112.0 \mathrm{mi} / \mathrm{h}$. At 3: 37 P.M., he is spotted at milepost 185 doing 105.0 milh. During this time interval, what are the bank robber's displacement, average velocity, and average acceleration? (Assume a straight highway.)
See all solutions

Recommended explanations on Physics Textbooks

Electricity

Read Explanation

Electricity and Magnetism

Read Explanation

Fluids

Read Explanation

Atoms and Radioactivity

Read Explanation

Quantum Physics

Read Explanation

Measurements

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free