Math Problem Statement

Megan rolls a ball down a ramp into the wall. The ramp is 2.5 m long. If It took 0.5 seconds for the ball to hit the wall, then what is the ball's speed? 

Solution

To find the ball's speed, we can use the formula for speed:

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

Here, the distance is 2.5m2.5 \, \text{m} and the time taken is 0.5seconds0.5 \, \text{seconds}.

Speed=2.5m0.5seconds=5m/s\text{Speed} = \frac{2.5 \, \text{m}}{0.5 \, \text{seconds}} = 5 \, \text{m/s}

Thus, the ball's speed is 5m/s5 \, \text{m/s}.

Would you like more details or further explanation?

Here are five related questions:

  1. What is the formula for average speed when acceleration is involved?
  2. How do you calculate the speed of an object if the ramp was inclined?
  3. How would friction affect the speed in real-life scenarios?
  4. What is the relationship between speed and velocity?
  5. How do we calculate acceleration if time and final speed are known?

Tip: When calculating speed, always ensure the units of distance and time are compatible (e.g., meters and seconds).

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Math Problem Analysis

Mathematical Concepts

Speed
Distance
Time

Formulas

Speed = Distance / Time

Theorems

Concept of Speed and Uniform Motion

Suitable Grade Level

Grades 6-8