2. A soccer ball is kicked into the air so that the path of its flight can be modeled by the function, where t is in seconds and x is meters above ground: x(t) = -4.912 +9.8t + 5 %3D a) At what time will the ball land? b) How many meters above ground was the ball kicked? c) What is the maximum height the ball will reach and at what time will this occur? d) What is the acceleration (with direction) of the ball at t=3 s?

2. A soccer ball is kicked into the air so that the path of its flight can be modeled by the function, where t is in seconds and x is meters above ground: x(t) = -4.912 +9.8t + 5 %3D a) At what time will the ball land? b) How many meters above ground was the ball kicked? c) What is the maximum height the ball will reach and at what time will this occur? d) What is the acceleration (with direction) of the ball at t=3 s?

Name: 2. A soccer ball is kicked into the air so that the path of itsflight
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Description: 2. A soccer ball is kicked into the air so that the path of itsflight can be modeled by the function, where t is inseconds and x is meters above ground:X(1) = -4.9t2 +9.8t +5%3Da) At what time will the ball land?b) How many meters above ground was t

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 54PE: A ball is thrown straight up. It passes a 2.00-m-high window 7.50 m off the ground on its path up...

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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

2. A soccer ball is kicked into the air so that the path of its
flight can be modeled by the function, where t is in
seconds and x is meters above ground:
X(1) = -4.9t2 +9.8t +5
%3D
a) At what time will the ball land?
b) How many meters above ground was the ball kicked?
c) What is the maximum height the ball will reach and at
what time will this occur?
d) What is the acceleration (with direction) of the ball at
t=3 s?

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