A roller coaster is going through a vertical loop (diameter 35 m) at a constant speed. How fast should the roller coaster be going so the passengers will feel no
more than 3.5 times their normal weight at the bottom of the loop? What force
will they feel from the seat at the top of the loop? What force would they feel halfway between the top and the bottom of the loop?

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s