DYNAMICS

A balloon rises from the ground with a constant acceleration of 4ft per sec^2. Five seconds later, a stone is thrown vertically up from the launching site. What must be the minimum initial velocity of the stone for it to just touch the balloon? Note that the balloon and stone have the same velocity at contact.

Minimum amount of money that must be spent before three gumballs of the same color are dispense

A vending machine dispenses gumballs in a regular repeating cycle of ten different colors. If a quarter buys 3 gumballs, what is the minimum amount of money that must be spent before three gumballs of the same color are dispense?

MATHS

PLS HELP TO SOLVE THIS

a=(17+5sinx+12cosx) / (17+5sinx-12cosx) = b
THEN a and b are equal to
OPTIONS ARE
1. 2/15 and 2
2. 2 and 2/15
3. 2/15 and 15/2
4. -1 and 1
PLS GIVE EXPLANATION