Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A ball starting from rest accelerates uniformly at 5.0 meters per second2 as it rolls 40. meters down an incline. How much time is required for the ball to roll the 40. meters

Sagot :

nuhulawal20

The time required for the ball to roll down the given distance is 4 seconds.

Given the data in the question;

Since the ball started from rest,

  • Initial velocity; [tex]u = 0[/tex]
  • Acceleration; [tex]a = 5.0m/s^2[/tex]
  • Distance traveled; [tex]s = 40m[/tex]
  • Time taken; [tex]t =\ ?[/tex]

To determine the time required for the ball to travel the given distance, we use the Second Equation of Motion:

[tex]s = ut + \frac{1}{2}at^2[/tex]

Where s is distance traveled, u is initial velocity, a is acceleration and t is time taken.

We substitute our given values into the equation and solve for "t"

[tex]40m = [ 0*t ] + [ \frac{1}{2}\ *\ 5.0m/s^2\ *\ t^2 ]\\\\40m = 2.5m/s^2\ *\ t^2\\\\t^2 = \frac{40m}{2.5m/s^2}\\\\t^2 = 16s^2\\\\t = \sqrt{16s^2}\\\\t = 4s[/tex]

Therefore, the time required for the ball to roll down the given distance is 4 seconds.

Learn more: https://brainly.com/question/3391840

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.