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5. A particle is moving along the x-axis. The acceleration of the function at time t is given by a(t) = t^2 + 4t + 3 where a is measured in centimeters per second squared and 0 ? t ? 5 is measured in seconds. At time t = 0, the velocity is 15 centimeters per second and the particle is at the origin. Note: Use Calculus for this problem rather than Physics as the acceleration is not constant. Note that the velocity and position functions are continuous. (Worth 12 points.) a) Find the average velocity of the particle during the 5 second time interval. b) If the MVT for integrals applies, find the time(s) when the average velocity is attained during the 5 second time interval.

          5. A particle is moving along the x-axis. The acceleration of the function at time t is given by a(t) = t^2 + 4t + 3 where a is measured in centimeters per second squared and 0 ? t ? 5 is measured in seconds. At time t = 0, the velocity is 15 centimeters per second and the particle is at the origin. Note: Use Calculus for this problem rather than Physics as the acceleration is not constant. Note that the velocity and position functions are continuous. (Worth 12 points.)
a) Find the average velocity of the particle during the 5 second time interval.
b) If the MVT for integrals applies, find the time(s) when the average velocity is attained during the 5 second time interval.

5. A particle is moving along the x-axis. The acceleration of the function at time t is given by a(t) = t^2 + 4t + 3 where a is measured in centimeters per second squared and 0 ? t ? 5 is measured in seconds. At time t = 0, the velocity is 15 centimeters per second and the particle is at the origin. Note: Use Calculus for this problem rather than Physics as the acceleration is not constant. Note that the velocity and position functions are continuous. (Worth 12 points.)
a) Find the average velocity of the particle during the 5 second time interval.
b) If the MVT for integrals applies, find the time(s) when the average velocity is attained during the 5 second time interval.

Added by Amber W.

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