find each answer below to the nearest 0.1feet/sec. find the average speed of the ball over the 1.6 seconds

Question

a ramp is made in the shape of a right triangle. The ramp length is 10 feet from the top of the ramp to the bottom, and the horizon all width of the ramp is 9.25 feet. A ball is released at the top of the ramp and takes 1.6 seconds to roll from the top of the ramp to the bottom find each answer below to the nearest 0.1feet/sec. find the average speed of the ball over the 1.6 seconds

 

Answer 1

Hi Talana,

This question is testing the Pythagorean Theorem. We are given that this is a right triangle. We also know that the height and width of the triangle is 10 and 9.25 ft respectively. With this information, we can find the length of the hypotenuse as shown below:

Pythagorean Theorem: a² + b² = c²

10² + 9.25² = hypotenuse²

hypotenuse² = 185.5625

hypotenuse = 13.6221

Now that we know the length we have to find the average speed of the ball. The speed of the ball will be in the units ft/sec. This means we have to divide the length of our hypotenuse by the time it takes the ball to travel down it. This math is shown below:

13.6221(ft) /1.6(sec) = 8.5138125 ft/sec

The final answer for this question is 8.51 ft/sec.