Fiona's Skateboard Ramp Ride: Solving v^2 Equation

  • Thread starter Thread starter miles johnstone
  • Start date Start date
  • Tags Tags
    Ramp Skateboard
AI Thread Summary
Fiona rides her skateboard up a ramp starting at 8.0 m/s and decelerates at 2.0 m/s² until she comes to a stop. To calculate the distance traveled up the ramp, the time to reach the highest point, and her velocity after 5.0 seconds, the relevant kinematic equations are applied. The discussion emphasizes the importance of correctly identifying variables in the equations, particularly distinguishing between distance, time, and velocity. Participants also suggest visualizing the motion using a velocity vs. time graph for better understanding. Accurate calculations are essential for solving the problem effectively.
miles johnstone
Messages
5
Reaction score
0
Fiona rides her skate board up a ramp. She begins with a speed of 8.0m/s but slows with a constent deccsalerarion of 2.0m/s. She tracked some distance up the ramp before coming to rest, then rolled down again. Ignoring air resistance and friction; calculate.
A) the distance that Fiona travels up the ramp before stopping.
B) the time that it takes Fiona to tech this highest point.
C) Fiona's velocity after 5.0s has elapsed.

v^2 = u^2+2ax
v^2=8^2+2XaX9.8
 
Last edited by a moderator:
Physics news on Phys.org
miles johnstone said:

v2 = u2+2ax
v2 = 82+2 a 9.8
That doesn't go far in fullfilling the mandatory PF requirements to use the template ! You must have seen it come by:
1. Homework Statement
2. Homework Equations
3. The Attempt at a Solution​

I recognize the equation, but do you know what it is and what it means ? I fear with great fear, since I see you fill in 9.8 for an x in the line above, so that's why I ask.

Note that part A) asks for a distance, part B) for a time and part C) for a velocity.
 
Visualize the motion on velocity vs. time graph.
 
Last edited:
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top