Help with lab - final velocity of total distance

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SUMMARY

The discussion centers on calculating the final velocity of a hot wheels car rolling down a ramp in a physics lab. The ramp measures 51 cm in length and has a height of 10 cm, with an average time of 0.86 seconds recorded for the descent. The participant utilizes the equations of motion, specifically vf² = vi² + 2ax, to derive a final velocity of 3.16 m/s, assuming initial velocity is zero. The conversation emphasizes the need to consider the angle of inclination and the component of gravitational acceleration along the ramp for accurate calculations.

PREREQUISITES
  • Understanding of basic kinematics and equations of motion
  • Familiarity with the Pythagorean theorem
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Ability to calculate angles of inclination in physics
NEXT STEPS
  • Learn how to calculate the angle of inclination of a ramp using trigonometric functions
  • Study the concept of gravitational components along inclined planes
  • Explore advanced kinematic equations for varying acceleration
  • Investigate experimental methods for measuring velocity and acceleration in physics labs
USEFUL FOR

Students conducting physics experiments, educators teaching kinematics, and anyone interested in understanding motion on inclined planes.

texan717
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Homework Statement


All right so this will probably sound a little muddled but I'll try anyway. We conducted a lab today in class. We were given a hot wheels car, a meter stick, a ramp, and a stopwatch. We were told to find final velocity of total distance. We were not told how to actually perform this lab. Our teacher is really into making us think about how to find your answer. Anyway we decided to time how long it took the car to go down the ramp from the top to the bottom. So my first question is that right?

Assuming yes,
ramp = 51 cm in length
height = 10 cm
average time was .86 s

Homework Equations


y = 1/2 + at^2
vf^2 = vi^2 + 2ax

The Attempt at a Solution



All right so I can form a triangle. The vertical component is 10 cm, the hypotenuse is 51 cm.
Using the pythagorean theorem I get 50.01 cm for the horizontal. That doesn't seem to help me much. I tried using vf^2 = vi^2 + 2ax.
Initial velocity is zero. 2 * gravity * .51 m = 10.0062
The squr root of 10.0062 is 3.16 m /s. Is this the amount of vertical velocity ?

I really could use some help to know if I'm anywhere near the correct way to solve this.
 
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Along the ramp the acceleration is less than g. Find the angle of inclination of the ramp. Then find the component of g along the ramp. Use this value in the equation you have written to find the final velocity.
 

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