All items must be completed.

Data

  Dragon Fire Leviathan Mighty Canadian Minebuster Vortex Wild Beast
slope of first hill (going up) 25°   20° 25° 20°
distance from top to bottom of first hill (going down) 38.2 m   37.9 m 30.7 m 34.9 m
height of first drop 23.2 m 93.3 m 26.5 m 25.9 m 23.8 m
mass of train 3972 kg 4320 kg 2500 kg 4200 kg 3660 kg
number of riders per train 28 32 30 24 28

Questions


Answer questions 1 - 10 for the roller coaster that you chose above.

Determine the height of the first hill. m
Calculate the length of the track of the first hill. m
Using a stopwatch, measure the time for the train to travel from the bottom of the first hill where the train hooks onto the chain to the top of the hill before it falls. s
Calculate the speed of the train moving up the first hill. ms-1

Using a stopwatch, measure the time for the train to travel from the top of the first hill to the bottom (using the point of release from the chain as the starting point). s
Calculate the acceleration of the train. (Use you value from #4 as the initial velocity) ms-2
Calculate the speed of the train at the bottom of the first hill. ms-1

Use conservation of energy to calculate the speed of the train at the bottom of the first hill (assume a frictionless track and no gravitational potential energy at the bottom of the first hill). ms-1
Account for any differences in your answers for questions #7 and #8.
    

List three sources of error in your experimental measurements.
    

Estimate the speed of the train at the bottom of the first drop for Leviathan. (Assume a velocity of zero at the top of the drop). ms-1