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

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SUMMARY

Fiona's skateboard ramp ride involves calculating the distance traveled up the ramp, the time taken to reach the highest point, and her velocity after 5 seconds. Using the equation v^2 = u^2 + 2ax, where u is the initial speed of 8.0 m/s and a is the constant deceleration of -2.0 m/s², the distance (x) can be determined. The time to reach the highest point can be calculated using the formula t = (v - u) / a, and the velocity after 5 seconds can be found using v = u + at. These calculations ignore air resistance and friction.

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miles johnstone
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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
 
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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:

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