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Solved: CALC A car’s velocity as a function of time is
Chapter 2, Problem 17E(choose chapter or problem)
Problem 17E
CALC A car’s velocity as a function of time is given by vx(t) = α + βt2, where α = 3.00 m/s and β = 0.100 m/s3. (a) Calculate the average acceleration for the time interval t = 0 to t = 5.00 s. (b) Calculate the instantaneous acceleration for t = 0 and t = 5.00 s. (c) Draw vx-t and ax-t graphs for the car’s motion between t = 0 and t = 5.00 s.
Questions & Answers
QUESTION:
Problem 17E
CALC A car’s velocity as a function of time is given by vx(t) = α + βt2, where α = 3.00 m/s and β = 0.100 m/s3. (a) Calculate the average acceleration for the time interval t = 0 to t = 5.00 s. (b) Calculate the instantaneous acceleration for t = 0 and t = 5.00 s. (c) Draw vx-t and ax-t graphs for the car’s motion between t = 0 and t = 5.00 s.
ANSWER:
Solution 17E
The velocity as a function of time is given as,
--------------------(1)
When and ,
a)
Average acceleration for the time interval of t=0 to t= 5s is,