Question

select the correct answer. a car travels 30.35 kilometers due west and then drives 7.50 kilometers up a hill that inclines 15.0 degrees. what is the vertical displacement of the car?
a. 0.00 kilometers
b. 1.94 kilometers
c. 3.25 kilometers
d. 4.35 kilometers

Explanation:

Step1: Identify relevant motion

Westward travel has 0 vertical displacement.

Step2: Calculate vertical component of hill climb

Vertical displacement = 7.50 km * sin(15.0°)

Step3: Compute value

sin(15.0°) ≈ 0.2588; 7.50 * 0.2588 ≈ 1.94 km

Answer:

B. 1.94 kilometers