for problems 32 - 35, refer to figure 24.\n32. the diagram at the right shows the path of a ship that sails…

for problems 32 - 35, refer to figure 24.\n32. the diagram at the right shows the path of a ship that sails at a constant velocity of 42 km/h east. what is the ships position when it reaches point c, relative to the starting point, a, if it sails from point b to point c in exactly 1.5 h?\n33. another ship starts at the same time from point b, but its average velocity is 58 km/h east. what is its position, relative to a, after 1.5 h?\n34. what would a ships position be if that ship started at point b and traveled at an average velocity of 35 km/h west to point d in a time period of 1.2 h?\n35. challenge suppose two ships start from point b and travel west. one ship travels at an average velocity of 35 km/h for 2.2 h. another ship travels at an average velocity of 26 km/h for 2.5 h. what is the final position of each ship?

for problems 32 - 35, refer to figure 24.\n32. the diagram at the right shows the path of a ship that sails at a constant velocity of 42 km/h east. what is the ships position when it reaches point c, relative to the starting point, a, if it sails from point b to point c in exactly 1.5 h?\n33. another ship starts at the same time from point b, but its average velocity is 58 km/h east. what is its position, relative to a, after 1.5 h?\n34. what would a ships position be if that ship started at point b and traveled at an average velocity of 35 km/h west to point d in a time period of 1.2 h?\n35. challenge suppose two ships start from point b and travel west. one ship travels at an average velocity of 35 km/h for 2.2 h. another ship travels at an average velocity of 26 km/h for 2.5 h. what is the final position of each ship?

Answer

Explanation for 32:

Step1: Calculate BC distance

$BC = 42 , \text{km/h} \times 1.5 , \text{h} = 63 , \text{km}$

Step2: Position relative to A

$25 , \text{km} + 63 , \text{km} = 88 , \text{km}$

Explanation for 33:

Step1: Calculate distance from B

$58 , \text{km/h} \times 1.5 , \text{h} = 87 , \text{km}$

Step2: Position relative to A

$25 , \text{km} + 87 , \text{km} = 112 , \text{km}$

Explanation for 34:

Step1: Calculate west distance from B

$35 , \text{km/h} \times 1.2 , \text{h} = 42 , \text{km}$

Step2: Position relative to A

$25 , \text{km} - 42 , \text{km} = -17 , \text{km}$

Explanation for 35:

Step1: First ship west distance

$35 , \text{km/h} \times 2.2 , \text{h} = 77 , \text{km}$

Step2: First ship position relative to A

$25 , \text{km} - 77 , \text{km} = -52 , \text{km}$

Step3: Second ship west distance

$26 , \text{km/h} \times 2.5 , \text{h} = 65 , \text{km}$

Step4: Second ship position relative to A

$25 , \text{km} - 65 , \text{km} = -40 , \text{km}$

Answer:

  1. 88 km east of A
  2. 112 km east of A
  3. -17 km (17 km west of A)
  4. First ship: -52 km (52 km west of A), Second ship: -40 km (40 km west of A)