Math Problem Statement

a ball is released at the top of the ramp and takes 1.6 secs to roll from the top of the ramp to the bottom. What is the average speed of a ball if the length is 10ft from top to bottom and the horizonal width is 9.25ft?

Solution

To calculate the average speed of the ball as it rolls down the ramp, we use the following formula:

Average Speed=Total DistanceTotal Time\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}

Given:

  • Length of the ramp (total distance traveled by the ball): 10 feet
  • Time taken to roll down: 1.6 seconds

Step 1: Calculate the Average Speed

Plugging in the values: Average Speed=10 feet1.6 seconds=6.25 feet per second\text{Average Speed} = \frac{10 \text{ feet}}{1.6 \text{ seconds}} = 6.25 \text{ feet per second}

Thus, the average speed of the ball is 6.25 feet per second.


Would you like further explanations or have additional questions? Here are five related questions you might find interesting:

  1. How would the average speed change if the ramp were steeper or less steep?
  2. What factors can affect the speed of the ball as it rolls down the ramp?
  3. How can we calculate the acceleration of the ball down the ramp?
  4. How does friction affect the motion of the ball on the ramp?
  5. What would be the ball's speed if the ramp were frictionless?

Tip: When calculating speed, always ensure the units for distance and time are consistent, such as feet per second or meters per second.

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Math Problem Analysis

Mathematical Concepts

Physics
Kinematics

Formulas

Average Speed formula: Average Speed = Total Distance / Total Time

Theorems

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Suitable Grade Level

High School