Chapter 2.2, Problem 46AYU

(a)

To determine

To find: The interval of time when M traveling fastest.

Answer to Problem 46AYU

  $\left[7,7.4\right]$

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).

  

x-axis shows time and y-axis shows speed.

This is speed time graph.

The maximum speed is 50 mph between 7 to 7.4.

(b)

To determine

To find: The interval when speed is zero.

Answer to Problem 46AYU

  $\left[4.2,6\right]$

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of Michael’s car as a function of the time t (in minutes).

  

Speed is 0 when vertical axis coincide on x-axis.

According to graph, speed becomes 0 between 4.2 to 6.

(c)

To determine

To find: The M’s speed between 0 to 2 minutes. .

Answer to Problem 46AYU

His speed in 0 to 2 minutes increase from 0 to 30 mph.

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).

  

Initial speed = 0 and Final speed = 30

So, his speed in 0 to 2 minutes increase from 0 to 30 m/h.

(d)

To determine

To find: The Michael’s speed between 4.2 to 6 minutes.

Answer to Problem 46AYU

  $0\text{ mph}$

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).

  

Initial speed = 0 and Final speed = 0

Speed between 4.2 to 6 is 0 mph

(e)

To determine

To find: The Michael’s speed between 7 to 7.4 minutes. .

Answer to Problem 46AYU

  $50\text{ mph}$

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).

  

Initial speed = 50 and Final speed = 50

The average speed between 7 to 7.4 is 50 mph.

(f)

To determine

To find: The M’s speed constant.

Answer to Problem 46AYU

For interval between 2 to 4 minutes.

For interval between 4.2 to 6minutes.

For interval between 7 to 7.4 minutes.

Explanation of Solution

Given: The following sketch represents the speed v (in miles per hour) of M’s car as a function of the time t (in minutes).

  

Speed constant when no change in velocity.

For interval between 2 to 4 minutes. Speed constant = 30 mph

For interval between 4.2 to 6minutes. Speed constant = 0 mph

For interval between 7 to 7.4 minutes. Speed constant = 50 mph