How Far and How Long for a Block on a 22 Degree Incline?

Click For Summary
To solve the problem of a block moving up a 22-degree incline with an initial speed of 3.0 m/s and an acceleration of -3.67 m/s², kinematic equations can be applied. For part (A), the distance the block travels up the incline can be calculated using the equation d = (v² - u²) / (2a), where v is the final velocity (0 m/s at the peak), u is the initial velocity, and a is the acceleration. For part (B), the time taken to return to the starting point can be found using the equation t = (v - u) / a. With these equations, the distance and time can be determined effectively. Understanding the basic principles of kinematics is essential for solving this type of problem.
katana
Messages
2
Reaction score
0
I need help with this problem:
A block is given an initial speed of 3.0 m/s up a 22.0 degrees plane. (A) How far up the plane wll it go? (B) How much time elapses before it returns to its starting point?

I know the acceleration is -3.67 m/s^2, but I have no idea how to continue on. I don't know what equation to use to figure out (A). Please help!
 
Physics news on Phys.org
You just have to realize you have a regular kinematics question in 1D now. You know the initial speed and you know the acceleration. That should be enough to find the distance and time.
 

Similar threads

High School Rotational Dynamics: Confused about the tension in this string pulling a mass up an incline
  • · Replies 2 ·
Replies
2
Views
2K
Finding the work done by a block
  • · Replies 4 ·
Replies
4
Views
3K
Free inclined plane and a block sliding on it
  • · Replies 13 ·
Replies
13
Views
3K
What is the displacement of a 3.0 kg block sliding down an inclined plane?
  • · Replies 12 ·
Replies
12
Views
2K
Block on top of an inclined plane, with a rough surface, that moves with constant acceleration
  • · Replies 41 ·
2
Replies
41
Views
4K
Solve Incline Problem: Find Highest Point Reached by Block
  • · Replies 3 ·
Replies
3
Views
2K
Solving Laws of Motion: Calculating Distance on a Plane
  • · Replies 1 ·
Replies
1
Views
2K
Spring and block on an inclined plane
  • · Replies 27 ·
Replies
27
Views
10K
How Far Will a Block Travel Up a 32-Degree Ramp with Initial Speed of 3.7 m/s?
  • · Replies 2 ·
Replies
2
Views
1K
Calculating Work and Kinetic Energy on an Inclined Plane
  • · Replies 2 ·
Replies
2
Views
3K