Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

football is thrown with an initial upward velocity component of 15.0 $\mathrm{m} / \mathrm{s}$ and a horizontal velocity component of 18.0 $\mathrm{m} / \mathrm{s}$ . (a) How much time is required for the football to reach the highest point in its trajectory? (b) How high does it get above its release point? (c) How much time after it is thrown does it take to return to its original height? How does this time compare with what you calculated in part (b)? Is your answer reasonable? How far has the football traveled horizontally from its original position?

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

a) 1.536$s$b) 11.479 $\mathrm{m}$c) 3.06 $\mathrm{s}$d) 55.1 $\mathrm{m}$

Physics 101 Mechanics

Chapter 3

Motion in a Plane

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Cornell University

Rutgers, The State University of New Jersey

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

02:52

A football is thrown with …

02:42

04:04

A rookie quarterback throw…

07:27

33:52

09:14

02:53

A football quarterback is …

04:10

A football is thrown towar…

05:56

A football is thrown direc…

02:28

A ball is thrown verticall…

03:02

03:08

A football is thrown horiz…

10:20

A football quarterback is…

11:44

At time $t,$ a projectile …

So we have initial Why velocity of the football 15 meters per second and we have the initial X velocity of the football 18 meters per second. We want to first find how long the ball is in the air or how long it takes to reach its maximum height. So we can say that V why final equals V. Why initial was party plus GT. We know that at the maximum height, the V y final equal zero So we can say that T is in vehicle two Negative, You initial divided by G and this is going to be a negative 15 divided by negative 9.8 and we're getting 1.53 seconds really apart. Beat is asking us to find the maximum Why velocity? So we we can say that why I fought rather my apologies y final well equal. Why initial plus V Why initial t plus 1/2 g t squared? We know that Why initial We're going to take to be zero and why final can be also called? Why Max and this will equal the initial y velocity So 15 times 1.53 and then plus 1/2 times. Gravity in this case is negative and 1.53 squared. And so we know that why Max is going to equal 11.48 meters to find the total time we can say that for a party Delta y equals again V Y national T plus 1/2 GT squared. However, we're trying to find the total time So we can say that Delta y zero and at the this point, we can solve and say tea is going to be equal to negative to the Y initial over G, and this simply equals negative. Two times of 15 divided by a negative 9.8. This is equaling 3.6 and one can see that 3.6 seconds is exactly twice that of 1.53 seconds. And so the time it takes making, and we can imply that the time it takes, um to reach the maximum height is thie exact amount of time it takes to reach the ground after it's reached its maximum height. So right at the halfway mark, in terms with respect to time, it reaches its maximum height, and then the party is simply asking us for the change in horizontal displacement. This is simply the ex initial T plus 1/2 80 squared. We know that there isn't any acceleration in the ex direction. So this was simply Eby equal. Teo 18 times 3.6 and we're getting that. The total horizontal displacement is equaling 55.0 eight meters. That is the end of the solution. Thank you for watching.

View More Answers From This Book

Find Another Textbook

02:25

The force between two similar unit charges placed one meter apart in air is?…

02:59

Distance travelled by the tip of minute hand of length10 cm in 100 sec i…

05:19

2. A man weighing 80 kg and wearing a flat-soled pair of shoes of area 300 c…