I am having trouble with three questions on a homework set. Could someone please offer help as how to solve these problems. Other examples would be great! Thanks

1) A daring ranch hand sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 15.0 m/s, and the distance from the limb to the level of the saddle is 3.00 m.

(a) What must be the horizontal distance between the saddle and limb when the ranch hand makes his move? (answer in meters)

(b) How long is he in the air? (answer in seconds)


2)The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with acceleration -5.05 m/s2 for 4.40 s, making straight skid marks 60.8 m long ending at the tree. With what speed does the car then strike the tree?
(answer in m/s)


3) A particle moves along the x axis. Its position is given by the equation x = 1.60 + 2.50t - 3.50t2 with x in meters and t in seconds.
(a) Determine its position when it changes direction. (answer in meters)
(b) What is its velocity when it returns to the position it had at t = 0?
(answer in m/s)

1 and 2 can be done with suvat equations, 3 needs some differentiation

rather than telling you how to do them, maybe you can try to make a start, and when you get stuck, post your working up to where you are and we can help you to move on from that point :)