Amir drives his ATV from coordinates (5.0 km,25°)directly to (25.0 km,45°)in 45 minutes.What is the ATV's speed?
A)0.5 km/h
B)20.4 km/h
C)27.2 km/h
D)34.0 km/h

Question

​Amir drives his ATV from coordinates (5.0 km,25°)directly to (25.0 km,45°)in 45 minutes.What is the ATV's speed?
A)​0.5 km/h
B)​20.4 km/h
C)​27.2 km/h
D)​34.0 km/h

Quizplus · Accepted Answer

We can use the formula for velocity to find the speed of the ATV:

velocity = displacement / time

First, we need to find the displacement of the ATV. We can use the Pythagorean theorem and trigonometry to find the x and y components of the displacement:

displacement_x = 25 km * cos(45°) - 5 km * cos(25°) ≈ 16.77 km
displacement_y = 25 km * sin(45°) - 5 km * sin(25°) ≈ 16.47 km

displacement = √(displacement_x² + displacement_y²) ≈ 23.68 km

Next, we need to convert the time to hours:

time = 45 minutes / 60 minutes per hour = 0.75 hours

Now we can calculate the speed:

velocity = displacement / time ≈ 31.57 km/h

Therefore, the closest answer choice is C (27.2 km/h).

​Amir Drives His ATV from Coordinates (5

Amir Drives His ATV from Coordinates (5