Motion problem - Shock drop ride

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SUMMARY

The discussion revolves around calculating the time a 750 kg carriage is in freefall during a theme park ride that descends at an acceleration of 10 m/s² over a distance of 3.5 meters. The relevant equations for this problem include v = u + at and s = 1/2(u + v)t. The initial velocity (u) is zero, as the carriage is stationary before the drop. By applying these equations, the time of freefall can be determined accurately.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Basic knowledge of acceleration due to gravity (g = 10 m/s²)
  • Ability to manipulate algebraic equations
  • Familiarity with concepts of freefall and motion
NEXT STEPS
  • Calculate the time of freefall using the kinematic equations
  • Explore the effects of different initial velocities on freefall time
  • Investigate braking distance calculations in motion problems
  • Learn about the physics of vertical motion in amusement park rides
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Students studying physics, particularly those focusing on kinematics, as well as educators and anyone interested in the mechanics of amusement park rides.

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Homework Statement


a ride at a them park is a vertically ascending/decending ride. The total mass of the 10 person carriage is 750kg (people included). the ride rises up to the top of the ride until stationary waits for 2 seconds and then drops at a rate of 10ms-2 for 3.5m. when near the bottom of the ride, the carriages brakes are applied for 0.8m.

a) how long is the carriage in freefall until the brakes are applied?

Homework Equations


not too sure, but i think you'll probably require:
v=u+at
s=1/2(u+v)t


The Attempt at a Solution


to be honest, i have no idea where to begin :eek:
thanks
 
Last edited:
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hello,I suppose you'ld not need most of the data given.
We can assume g=10ms^{-2}

now we know distance covered,the acceleration,the initial velocity.
Just put in formulas
 
Last edited:

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