You are competitive bicyclist. During a race, you bike at a constant velocity of

Question

You are competitive bicyclist. During a race, you bike at a constant velocity of k meters per second. A chase car waits for you at the 10 mile mark of a course. When you cross the 10 mile mark ,the car immediately accelerates to catch. The position function of the chase car , is given by the equation
S(t) =15/4t square - 5/12 t cube, for 0 less than and equal to t is less than and equal to 6, where t is the time in seconds and s is the distance traveling in meters. When the car catches you, you and the car are traveling at the same velocity, and the driver hands to a cup of water, while you continue to bike at k meters per second. Exercises #1 Write an equation that represents your position s ( in meters )at time t in seconds 2. Use your answer to exercise 1 and the given information to write an equation that represents the velocity k at which the chase car catches you in terms of t.
3. Find the velocity function of the car.
4.used your answers to exercises 2 and 3 to find out how many seconds it takes to tease car to catch you .
5.what is the velocity when the car catches you ? 6.use of grafing utility to graf the chase car's position function and your position function in the same viewing window.
7.find the point of intersection of the 2 grats in exercise 6. What does this point represent in the context of the problem?
8.describe the graphs in exercise 6 at point of intersection . why is this important for a successful hand off? 9 suppose you bike at the constant velocity of 9 m/s and the chase car position function is unchanged.
(a) use a graphic grafting utility to graft the tease cause position function and your position function in the same viewing window
(b) in this scenario, how many times with the tease got being the same position as you after the 10 mild mark?
( c) in the scenario with the driver of the car being able to successfully handoff a couple water to U? Explain.
10.suppose you bike at a constant velocity of 8 m/s and the chase car position function is unchanged.
( a) use of grating utility to graf the CHASE CAR position function and your position function in the same viewing window
( B) in the scenario how many times with theCHASE car be in the same position as you after the 10 mile mark?

Square :2 Cube :3 Less than and equal to Don’t know how to type these

You are competitive bicyclist. During a race, you bike at a constant velocity of k meters per second. A chase car waits for you at the 10 mile mark of a course. When you cross the 10 mile mark ,the car immediately accelerates to catch. The position function of the chase car , is given by the equation
S(t) =15/4t square - 5/12 t cube, for 0 less than and equal to t is less than and equal to 6, where t is the time in seconds and s is the distance traveling in meters. When the car catches you, you and the car are traveling at the same velocity, and the driver hands to a cup of water, while you continue to bike at k meters per second. Exercises #1 Write an equation that represents your position s ( in meters )at time t in seconds 2. Use your answer to exercise 1 and the given information to write an equation that represents the velocity k at which the chase car catches you in terms of t.
3. Find the velocity function of the car.
4.used your answers to exercises 2 and 3 to find out how many seconds it takes to tease car to catch you .
5.what is the velocity when the car catches you ? 6.use of grafing utility to graf the chase car's position function and your position function in the same viewing window.
7.find the point of intersection of the 2 grats in exercise 6. What does this point represent in the context of the problem?
8.describe the graphs in exercise 6 at point of intersection . why is this important for a successful hand off? 9 suppose you bike at the constant velocity of 9 m/s and the chase car position function is unchanged.
(a) use a graphic grafting utility to graft the tease cause position function and your position function in the same viewing window
(b) in this scenario, how many times with the tease got being the same position as you after the 10 mild mark?
( c) in the scenario with the driver of the car being able to successfully handoff a couple water to U? Explain.
10.suppose you bike at a constant velocity of 8 m/s and the chase car position function is unchanged.
( a) use of grating utility to graf the CHASE CAR position function and your position function in the same viewing window
( B) in the scenario how many times with theCHASE car be in the same position as you after the 10 mile mark?

Square :2 Cube :3 Less than and equal to Don’t know how to type these

You are competitive bicyclist. During a race, you bike at a constant velocity of k meters per second. A chase car waits for you at the 10 mile mark of a course. When you cross the 10 mile mark ,the car immediately accelerates to catch. The position function of the chase car , is given by the equation
S(t) =15/4t square - 5/12 t cube, for 0 less than and equal to t is less than and equal to 6, where t is the time in seconds and s is the distance traveling in meters. When the car catches you, you and the car are traveling at the same velocity, and the driver hands to a cup of water, while you continue to bike at k meters per second. Exercises #1 Write an equation that represents your position s ( in meters )at time t in seconds 2. Use your answer to exercise 1 and the given information to write an equation that represents the velocity k at which the chase car catches you in terms of t.
3. Find the velocity function of the car.
4.used your answers to exercises 2 and 3 to find out how many seconds it takes to tease car to catch you .
5.what is the velocity when the car catches you ? 6.use of grafing utility to graf the chase car's position function and your position function in the same viewing window.
7.find the point of intersection of the 2 grats in exercise 6. What does this point represent in the context of the problem?
8.describe the graphs in exercise 6 at point of intersection . why is this important for a successful hand off? 9 suppose you bike at the constant velocity of 9 m/s and the chase car position function is unchanged.
(a) use a graphic grafting utility to graft the tease cause position function and your position function in the same viewing window
(b) in this scenario, how many times with the tease got being the same position as you after the 10 mild mark?
( c) in the scenario with the driver of the car being able to successfully handoff a couple water to U? Explain.
10.suppose you bike at a constant velocity of 8 m/s and the chase car position function is unchanged.
( a) use of grating utility to graf the CHASE CAR position function and your position function in the same viewing window
( B) in the scenario how many times with theCHASE car be in the same position as you after the 10 mile mark?

Square :2 Cube :3 Less than and equal to Don’t know how to type these

Explanation / Answer

1) s(t) = kt

2) v(t) = k (T>6)

3)

s(t) =15/4 t^2- 5/12 t^3

v(t) = ds/dt = (15/2 t- 5/4 t^2) (ans)

2)

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