Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Problem 13

In ideal projectile motion, when the positive \(y\) -axis is chosen to be vertically upward, the \(y\) -component of the velocity of the object during the ascending part of the motion and the \(y\) -component of the velocity during the descending part of the motion are, respectively, a) positive, negative. c) positive, positive. b) negative, positive. d) negative, negative.

Short Answer

Expert verified
Answer: The y-components of the velocity during the ascending and descending parts of an object in ideal projectile motion are positive and negative, respectively. This is because the object is moving upward against the force of gravity during the ascending part, and downward due to the force of gravity during the descending part.

Step by step solution

01

Analyze the ascending part of the motion

During the ascending part, the object is moving upward against the force of gravity. As a result, the y-component of the velocity is decreasing, but the object is still moving upward, so the velocity is positive.
02

Analyze the descending part of the motion

During the descending part, the object is moving downward due to the force of gravity. Hence, the y-component of the velocity is increasing in the downward direction, meaning it is negative.
03

Identify the correct option

Based on the analysis above, the y-component of the velocity during ascending is positive, and during descending, it is negative. Therefore, the correct option is: a) positive, negative.

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

A box containing food supplies for a refugee camp was dropped from a helicopter flying horizontally at a constant elevation of \(500 . \mathrm{m}\). If the box hit the ground at a distance of 150\. m horizontally from the point of its release, what was the speed of the helicopter? With what speed did the box hit the ground?

You serve a tennis ball from a height of \(1.8 \mathrm{~m}\) above the ground. The ball leaves your racket with a speed of \(18.0 \mathrm{~m} / \mathrm{s}\) at an angle of \(7.00^{\circ}\) above the horizontal. The horizontal distance from the court's baseline to the net is \(11.83 \mathrm{~m},\) and the net is \(1.07 \mathrm{~m}\) high. Neglect spin imparted on the ball as well as air resistance effects. Does the ball clear the net? If yes, by how much? If not, by how much did it miss?

A rabbit runs in a garden such that the \(x\) - and \(y\) components of its displacement as function of times are given by \(x(t)=-0.45 t^{2}-6.5 t+25\) and \(y(t)=0.35 t^{2}+8.3 t+34 .\) (Both \(x\) and \(y\) are in meters and \(t\) is in seconds.) a) Calculate the rabbit's position (magnitude and direction) at \(t=10 \mathrm{~s}\) b) Calculate the rabbit's velocity at \(t=10 \mathrm{~s}\). c) Determine the acceleration vector at \(t=10 \mathrm{~s}\).

A boat travels at a speed of \(v_{\mathrm{BW}}\) relative to the water in a river of width \(D .\) The speed at which the water is flowing is \(v_{\mathrm{W}}\) a) Prove that the time required to cross the river to a point exactly opposite the starting point and then to return is \(T_{1}=2 D / \sqrt{v_{B W}^{2}-v_{W}^{2}}\) b) Also prove that the time for the boat to travel a distance \(D\) downstream and then return is \(T_{1}=2 D v_{\mathrm{B}} /\left(v_{\mathrm{BW}}^{2}-v_{\mathrm{w}}^{2}\right)\)

A plane diving with constant speed at an angle of \(49.0^{\circ}\) with the vertical, releases a package at an altitude of \(600 . \mathrm{m}\). The package hits the ground \(3.50 \mathrm{~s}\) after release. How far horizontally does the package travel?
See all solutions

Recommended explanations on Physics Textbooks

Waves Physics

Read Explanation

Astrophysics

Read Explanation

Particle Model of Matter

Read Explanation

Fundamentals of Physics

Read Explanation

Atoms and Radioactivity

Read Explanation

Dynamics

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