18. A golf ball rolls up a hill toward a miniature-golf hole. Assume that the direction toward the hole is positive. a. If the golf ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s?, what is its velocity after 2.0 s? b. What is the golf ball's velocity if the constant acceleration continues for 6.0 s? c. Describe the motion of the golf ball in words and with a motion diagram.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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#18 and #20 please do, thanks!
to solve prob tion.
endixe
3.2 Motion with Constant Acceleration
ou have learned that the definition of average velocity can be alge-
I braically rearranged to show the new position after a period of time,
given the initial position and the average velocity. The definition of average
acceleration can be manipulated similarly to show the new velocity after a
period of time, given the initial velocity and the average acceleration.
-Objectives
Interpret position-time
graphs for motion with
constant acceleration
Velocity with Average Acceleration
If you know an object's average acceleration during a time interval, you
can use it to determine how much the velocity changed during that time.
The definition of average acceleration,
Determine mathematical
relationships among position
velocity, acceleration.
and time
Apply graphical and
mathematical relationships
to solve problems related to
a- A, can be rewritten as follows:
constant acceleration.
v - v, = āAt
The equation for final velocity with average acceleration can be written
as follows.
re
Final Velocity with Average Acceleration v= v, + āAt
The final velocity is equal to the initial velocity plus the product of the
average acceleration and time interval.
In cases in which the acceleration is constant, the average acceleration,
a. is the same as the instantaneous acceleration, a. This equation can be
rearranged to find the time at which an object with constant acceleration
has a given velocity. It also can be used to calculate the initial velocity of an
object when both the velocity and the time at which it occurred are given.
• Additional Problems, Appendix B
• Solutions to Selected Problems, Appendix C
PRACTICE Problems
18. A golf ball rolls up a hill toward a miniature-golf hole. Assume that
the direction toward the hole is positive.
a. If the golf ball starts with a speed of 2.0 m/s and slows at a
constant rate of 0.50 m/s? what is its velocity after 2.0 s?
b. What is the golf ball's velocity if the constant acceleration
continues for 6.0 s?
c. Describe the motion of the golf ball in words and with a motion
diagram.
19. A bus that is traveling at 30.0 km/h speeds up at a constant rate of
3.5 m/s?. What velocity does it reach 6.8 s later?
20. If a car accelerates from rest at a constant 5.5 m/s?, how long will
it take for the car to reach a velocity of 28 m/s?
21. A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s.
How many seconds are required before the car is traveling at 3.0 m/s?
65
Section 3.2 Motion with Constant Acceleration
Transcribed Image Text:to solve prob tion. endixe 3.2 Motion with Constant Acceleration ou have learned that the definition of average velocity can be alge- I braically rearranged to show the new position after a period of time, given the initial position and the average velocity. The definition of average acceleration can be manipulated similarly to show the new velocity after a period of time, given the initial velocity and the average acceleration. -Objectives Interpret position-time graphs for motion with constant acceleration Velocity with Average Acceleration If you know an object's average acceleration during a time interval, you can use it to determine how much the velocity changed during that time. The definition of average acceleration, Determine mathematical relationships among position velocity, acceleration. and time Apply graphical and mathematical relationships to solve problems related to a- A, can be rewritten as follows: constant acceleration. v - v, = āAt The equation for final velocity with average acceleration can be written as follows. re Final Velocity with Average Acceleration v= v, + āAt The final velocity is equal to the initial velocity plus the product of the average acceleration and time interval. In cases in which the acceleration is constant, the average acceleration, a. is the same as the instantaneous acceleration, a. This equation can be rearranged to find the time at which an object with constant acceleration has a given velocity. It also can be used to calculate the initial velocity of an object when both the velocity and the time at which it occurred are given. • Additional Problems, Appendix B • Solutions to Selected Problems, Appendix C PRACTICE Problems 18. A golf ball rolls up a hill toward a miniature-golf hole. Assume that the direction toward the hole is positive. a. If the golf ball starts with a speed of 2.0 m/s and slows at a constant rate of 0.50 m/s? what is its velocity after 2.0 s? b. What is the golf ball's velocity if the constant acceleration continues for 6.0 s? c. Describe the motion of the golf ball in words and with a motion diagram. 19. A bus that is traveling at 30.0 km/h speeds up at a constant rate of 3.5 m/s?. What velocity does it reach 6.8 s later? 20. If a car accelerates from rest at a constant 5.5 m/s?, how long will it take for the car to reach a velocity of 28 m/s? 21. A car slows from 22 m/s to 3.0 m/s at a constant rate of 2.1 m/s. How many seconds are required before the car is traveling at 3.0 m/s? 65 Section 3.2 Motion with Constant Acceleration
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