Math Problem Statement

What is the velocity of a car that traveled a total of 75 miles NORTH in 1.5 hours? Give the correct units.

112 km/hr

50 miles per hour

112 mph NORTH

50 miles per hour NORTH

Solution

To calculate the velocity, we use the formula for velocity:

Velocity=DistanceTime\text{Velocity} = \frac{\text{Distance}}{\text{Time}}

Given:

  • Distance = 75 miles
  • Time = 1.5 hours

Velocity=75miles1.5hours=50miles per hour (mph)\text{Velocity} = \frac{75 \, \text{miles}}{1.5 \, \text{hours}} = 50 \, \text{miles per hour (mph)}

Since the car traveled north, we specify the direction in the velocity. Thus, the correct answer is:

50 miles per hour NORTH

Would you like further details on velocity, or do you have any other questions?

Related questions:

  1. What is the formula for average velocity if speed varies over time?
  2. How would the velocity change if the car traveled 75 miles in 2 hours instead?
  3. What are the SI units of velocity, and how would you convert miles per hour to kilometers per hour?
  4. How does the concept of displacement differ from distance when calculating velocity?
  5. What is the difference between speed and velocity?

Tip:

Velocity always includes both the magnitude (speed) and the direction.

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Math Problem Analysis

Mathematical Concepts

Distance
Time
Velocity
Direction

Formulas

Velocity = Distance / Time

Theorems

The concept of velocity includes both magnitude (speed) and direction

Suitable Grade Level

Grades 6-8