3. A car brakes to a stop over the course of 3 sand the velocity during this time is given by v(t)=(-t²+9) m/s where t is measured in s. A. What is the initial velocity of this car? B. Using calculus, find the equation for the acceleration during this time. C. What is the acceleration at t=0 s? What is the

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Chapter2: Kinematics
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Problem 36PE: An express train passes through a station. It enters with an initial velocity of 22.0 m/s and...
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3. A car brakes to a stop over the course of 3 s and the
velocity during this time is given by v(t)=(-t²+9) m/s
where t is measured in s.
A. What is the initial velocity of this car?
B. Using calculus, find the equation for the
acceleration during this time.
C. What is the acceleration at t=0 s? What is the
acceleration at t=2 s?
D. Are the accelerations from part c) positive,
negative, or zero? What does the sign of the
acceleration tell you?
E. How far does the car travel during these 3
seconds? (Note, you may calculate the
integral numerically.)
Transcribed Image Text:3. A car brakes to a stop over the course of 3 s and the velocity during this time is given by v(t)=(-t²+9) m/s where t is measured in s. A. What is the initial velocity of this car? B. Using calculus, find the equation for the acceleration during this time. C. What is the acceleration at t=0 s? What is the acceleration at t=2 s? D. Are the accelerations from part c) positive, negative, or zero? What does the sign of the acceleration tell you? E. How far does the car travel during these 3 seconds? (Note, you may calculate the integral numerically.)
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D. Are the accelerations from part c) positive,
negative, or zero? What does the sign of the
acceleration tell you?
E. How far does the car travel during these 3
seconds? (Note, you may calculate the
integral numerically.)
Transcribed Image Text:D. Are the accelerations from part c) positive, negative, or zero? What does the sign of the acceleration tell you? E. How far does the car travel during these 3 seconds? (Note, you may calculate the integral numerically.)
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