Question

A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A
and B are 150 miles apart along a straight highway. Which of the following statements most
accurately describes the motion of the car?
A) The average velocity is 40 miles per hour.
B) The total displacement of the trip is 300 mile
C) The average speed is 37.5 miles per hour.

Answer 1

Given info : A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway.

To find : total displacement , average velocity and average speed of car are..

solution : we know, displacement is the minimum desperation between initial point to final point.

here, car moves from A to B and then returns B to A.

it means, initial position of car = final position of car

so, displacement = final position - initial position = 0

Therefore total displacement of car is 0 mile.

now average velocity = total displacement/total time taken = 0/(5 hrs + 3 hrs) = 0 miles/hr

average speed = total distance covered/total time taken

= (150 miles + 150 miles)/(5 hrs + 3 hrs)

= 300/8 miles/hr

= 37.5 miles/hr

Therefore the correct option is (C) The average speed of car is 37.5 miles per hour.

Answer 2

Hola ⚘⚘

Given:

• A car travels from point A to B in 3 hours and returns back to point A in 5 hours. Points A and B are 150 miles apart along a straight highway.

Tofind:

• Total displacement
• Average velocity
• Average speed

Calculation:

According to the given data, car moved from point A to point B, And returns point B to point A. here, which means

>> displacement = final position - initial position

>> displacement = 0

>> Average velocity = 0/(5+3)

>> Average velocity = 0

>> Average speed = (150+150)/(5+3)

>> Average speed = 300/8

>> Average speed = 37.5 miles per hour

Hence, Option (c) is the correct one [✓]