Solve Motion Question for Frictionless Rollercoaster

[blueparukia]

Nice, easy fun really.

Homework Statement

There is a frictionless rollercoaster, at a height of 99m. The mass of the car is 2000kg, weight is 19 613N. The initial velocity of the car suspended at the top is 0, it is then dropped down a sheer (90 degrees) vertical drop for 49m.

GPE is ~1 960 000J

I need to calculate the acceleration of the car after it has dropped, and the time it takes to complete the 49m drop, as well as the final speed it is travelling. Kinetic energy couldn't hurt either :p

Homework Equations

5 equations of motion.

The Attempt at a Solution

Meh, I've just rearranged a formula to find acceleration, but i don't have time or final velocity to work off.

Cheers guys, no clue where to start.

 

[rl.bhat]

Use law of conservation of energy.
Since roller coaster is frictionless, car is falling freely.

 

[blueparukia]

Cheers mate, I've done the calculations all seems to work out fine.

However, under freefall, you just feel 1G right, not weightlessness?

 

[rl.bhat]

Cheers mate, I've done the calculations all seems to work out fine.

However, under freefall, you just feel 1G right, not weightlessness?

Yes. 1 g.