Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 78

An object is thrown upward with a speed of \(28.0 \mathrm{~m} / \mathrm{s}\). How high above the projection point is it after 1.00 s?

Short Answer

Expert verified
Answer: The object is 23.095 m above the projection point.

Step by step solution

01

Identify the parameters

Given the initial velocity \(v_0 = 28.0 \mathrm{~m/s}\) and the time \(t = 1.00 \mathrm{~s}\). The acceleration due to gravity is \(g = 9.81 \mathrm{~m/s^2}\), and it acts opposite to the initial velocity.
02

Choose the kinematic equation

We will use the following kinematic equation, which relates displacement, initial velocity, time, and acceleration: \(y = v_0t - \frac{1}{2}gt^2\). In this equation, \(y\) is the vertical displacement or height above the projection point.
03

Plug in the values and calculate the height

Insert the given values into the equation: \(y = (28.0 \mathrm{~m/s})(1.00 \mathrm{~s}) - \frac{1}{2}(9.81 \mathrm{~m/s^2})(1.00 \mathrm{~s})^2\). Now, perform the calculations: \(y = 28.0 \mathrm{~m} - 4.905 \mathrm{~m}\) \(y = 23.095 \mathrm{~m}\)
04

Report the final answer

The object is \(23.095 \mathrm{~m}\) above the projection point after \(1.00 \mathrm{~s}\).

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

The Bellagio Hotel in Las Vegas, Nevada, is well known for its Musical Fountains, which use 192 HyperShooters to fire water hundreds of feet into the air to the rhythm of music. One of the HyperShooters fires water straight upward to a height of \(240 \mathrm{ft}\). a) What is the initial speed of the water? b) What is the speed of the water when it is at half this height on its way down? c) How long will it take for the water to fall back to its original height from half its maximum height?

A girl is riding her bicycle. When she gets to a corner, she stops to get a drink from her water bottle. At that time, a friend passes by her, traveling at a constant speed of \(8.0 \mathrm{~m} / \mathrm{s}\). a) After \(20 \mathrm{~s}\), the girl gets back on her bike and travels with a constant acceleration of \(2.2 \mathrm{~m} / \mathrm{s}^{2} .\) How long does it take for her to catch up with her friend? b) If the girl had been on her bike and rolling along at a speed of \(1.2 \mathrm{~m} / \mathrm{s}\) when her friend passed, what constant acceleration would she need to catch up with her friend in the same amount of time?

A particle starts from rest at \(x=0\) and moves for \(20 \mathrm{~s}\) with an acceleration of \(+2.0 \mathrm{~cm} / \mathrm{s}^{2}\). For the next \(40 \mathrm{~s}\), the acceleration of the particle is \(-4.0 \mathrm{~cm} / \mathrm{s}^{2} .\) What is the position of the particle at the end of this motion?

A ball is thrown straight upward in the air at a speed of \(15.0 \mathrm{~m} / \mathrm{s} .\) Ignore air resistance. a) What is the maximum height the ball will reach? b) What is the speed of the ball when it reaches \(5.00 \mathrm{~m} ?\) c) How long will it take to reach \(5.00 \mathrm{~m}\) above its initial position on the way up? d) How long will it take to reach \(5.00 \mathrm{~m}\) above its initial position on its way down?

If the acceleration of an object is zero and its velocity is nonzero, what can you say about the motion of the object? Sketch velocity versus time and acceleration versus time graphs for your explanation.
See all solutions

Recommended explanations on Physics Textbooks

Astrophysics

Read Explanation

Classical Mechanics

Read Explanation

Kinematics Physics

Read Explanation

Magnetism

Read Explanation

Conservation of Energy and Momentum

Read Explanation

Medical Physics

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