Lesson 2.2d - Velocity and Acceleration

Last updated over 7 years ago

7 questions

Lesson 2.2d - Velocity and Acceleration

Last updated over 7 years ago

7 questions

Just to remind you, average rate of change is the change in distance divided by the change in time, similar to finding the slope of a function.

For questions 1-4, use the position function below regarding a coin dropping from the top of a 1362-foot tall building.

Question 1

Find v(t), the instantaneous velocity funciton.

Question 2

Find the average velocity on the interval [1, 2]
HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Question 3

Find the intstantaneous velocity of the object at 2 seconds.

Question 4

Find the velocity of the coin when it reaches the ground. Round to three decimal places.
HINT: Solve s(t) = 0. Then plug that result into v(t).

 For questions 5-8, use the position function below regarding a projectile that is shot upward from the surface of Earth with an initial velocity of 120 meters per second.

Question 5

Find v(t), the instantaneous velocity funciton.

Question 6

Find the velocity of the object at 5 seconds.

Question 7

Find the velocity of the object when the object hits the ground.

Just to remind you, average rate of change is the change in distance divided by the change in time, similar to finding the slope of a function.

For questions 1-4, use the position function below regarding a coin dropping from the top of a 1362-foot tall building.

Question 1

Find v(t), the instantaneous velocity funciton.

Question 2

Find the average velocity on the interval [1, 2]
HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Question 3

Find the intstantaneous velocity of the object at 2 seconds.

Question 4

Find the velocity of the coin when it reaches the ground. Round to three decimal places.
HINT: Solve s(t) = 0. Then plug that result into v(t).

 For questions 5-8, use the position function below regarding a projectile that is shot upward from the surface of Earth with an initial velocity of 120 meters per second.

Question 5

Find v(t), the instantaneous velocity funciton.

Question 6

Find the velocity of the object at 5 seconds.

Question 7

Lesson 2.2d - Velocity and Acceleration

Lesson 2.2d - Velocity and Acceleration

Find v(t), the instantaneous velocity funciton.

Find the average velocity on the interval [1, 2]HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Find the intstantaneous velocity of the object at 2 seconds.

Find the velocity of the coin when it reaches the ground. Round to three decimal places.HINT: Solve s(t) = 0. Then plug that result into v(t).

Find v(t), the instantaneous velocity funciton.

Find the velocity of the object at 5 seconds.

Find the velocity of the object when the object hits the ground.

Find v(t), the instantaneous velocity funciton.

Find the average velocity on the interval [1, 2]HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Find the intstantaneous velocity of the object at 2 seconds.

Find the velocity of the coin when it reaches the ground. Round to three decimal places.HINT: Solve s(t) = 0. Then plug that result into v(t).

Find v(t), the instantaneous velocity funciton.

Find the velocity of the object at 5 seconds.

Find the velocity of the object when the object hits the ground.

Find the average velocity on the interval [1, 2]
HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Find the velocity of the coin when it reaches the ground. Round to three decimal places.
HINT: Solve s(t) = 0. Then plug that result into v(t).

Find the average velocity on the interval [1, 2]
HINT: Solution should be negative because the object is falling. Use s(t) to compute average velocity.

Find the velocity of the coin when it reaches the ground. Round to three decimal places.
HINT: Solve s(t) = 0. Then plug that result into v(t).