Solve what is asked: The position of a particle is given by the equation 3(x+3t) 6(x+2), x is in meters and t is in seconds, 1. What is the average velocity of the particle from t 2s to t = 3s? 2. What is the instantaneous velocity of the particle at t = 3s? 3. What is the instantaneous acceleration of the particle at t = 6s?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Solve what is asked:
The position of a particle is given by the equation 3(x+3t) = 6(x+2), x is in meters and t is in seconds,
1. What is the average velocity of the particle from t 2s to t = 3s?
2. What is the instantaneous velocity of the particle at t = 3s?
3. What is the instantaneous acceleration of the particle at t = 6s?
4. What is the average acceleration of the particle for the first 10 seconds?
Solve what is asked:
A person kicks a ball off a cliff with a velocity of 20 m/s, 30° from the horizontal. It takes 20 seconds to hit the ground,
1. Find the height of the cliff.
2. Find the final vertical velocity of the ball just before it hits the ground.
3. Find the total horizontal range travelled by the ballI.
4. Find the magnitude of the final velocity of the ball just before it hits the ground.
5. Find the direction of the final velocity of the ball just before it hits the ground.
DEV
Transcribed Image Text:Solve what is asked: The position of a particle is given by the equation 3(x+3t) = 6(x+2), x is in meters and t is in seconds, 1. What is the average velocity of the particle from t 2s to t = 3s? 2. What is the instantaneous velocity of the particle at t = 3s? 3. What is the instantaneous acceleration of the particle at t = 6s? 4. What is the average acceleration of the particle for the first 10 seconds? Solve what is asked: A person kicks a ball off a cliff with a velocity of 20 m/s, 30° from the horizontal. It takes 20 seconds to hit the ground, 1. Find the height of the cliff. 2. Find the final vertical velocity of the ball just before it hits the ground. 3. Find the total horizontal range travelled by the ballI. 4. Find the magnitude of the final velocity of the ball just before it hits the ground. 5. Find the direction of the final velocity of the ball just before it hits the ground. DEV
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