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CALC The acceleration of a particle is given by ax(t) = -
Chapter 2, Problem 79P(choose chapter or problem)
Problem 79P
CALC The acceleration of a particle is given by ax(t) = - 2.00 m/s2 + (3.00 m/s3)t. (a) Find the initial velocity v0x such that the particle will have the same x-coordinate at t = 4.00 s as it had at t = 0. (b) What will be the velocity at t = 4.00 s?
Questions & Answers
QUESTION:
Problem 79P
CALC The acceleration of a particle is given by ax(t) = - 2.00 m/s2 + (3.00 m/s3)t. (a) Find the initial velocity v0x such that the particle will have the same x-coordinate at t = 4.00 s as it had at t = 0. (b) What will be the velocity at t = 4.00 s?
ANSWER:
Solution 79P
Step 1 :
Considering the given condition for acceleration
-----------------(1)
We need find
This can be obtained by integrating the above condition with respect to time
We get
-----------------(2)
We need to find the position, which is obtained by further integrating
We get
--------------(3)