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To calculate the kinetic energy of the roller-coaster car at the bottom of the hill, we can use the formula:
KE = 0.5 * m * v^2
Where:
KE = kinetic energy
m = mass of the car and passengers (1,063 kg)
v = speed of the car (33 m/s)
Plugging in the values:
KE = 0.5 * 1,063 * (33)^2
KE = 0.5 * 1,063 * 1,089
KE = 578,803.5 J
Therefore, the kinetic energy of the roller-coaster car at the bottom of the hill is 578,803.5 J.