The car travels around the portion of a circular track having a radius of r = 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate ofa = 0.002t in ft/s, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has travelled three-fourths the way around the track. O v = 36.83 ft s^-1 ; a = 2.74 ft s^-2 O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2 O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2 O None of the choices

An Introduction to Physical Science
14th Edition
ISBN:9781305079137
Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Chapter2: Motion
Section: Chapter Questions
Problem 19E: A person drives a car around a circular, level cloverleaf with a radius of 70 m at a uniform speed...
icon
Related questions
icon
Concept explainers
Topic Video
Question

Show complete solution

The car travels around the portion of a circular track having
a radius of r = 500 ft such that when it is at point A it has
a velocity of 2 ft/s, which is increasing at the rate ofa =
0.002t in ft/s, where t is in seconds. Determine the
magnitudes of its velocity and acceleration when it has
travelled three-fourths the way around the track.
v = 36.83 ft s^-1 ; a = 2.74 ft s^-2
O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2
O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2
O None of the choices
Transcribed Image Text:The car travels around the portion of a circular track having a radius of r = 500 ft such that when it is at point A it has a velocity of 2 ft/s, which is increasing at the rate ofa = 0.002t in ft/s, where t is in seconds. Determine the magnitudes of its velocity and acceleration when it has travelled three-fourths the way around the track. v = 36.83 ft s^-1 ; a = 2.74 ft s^-2 O v = 28.11 ft s^-1 ; a = 1.61 ft s^-2 O v = 17.71 ft s^-1 ; a = 0.68 ft s^-2 O None of the choices
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Projectile motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning