If the height of the water slide is h = 3.8m, and the person's initial speed at the top is 0.70m/s , what is the horizontal distance between the base of the slide and the splashdown point of the person?

Suppose that you're flying an airplane to deliver a package of food and supplies to people on the ground. They have prepared a target area where it is safe to land the package. You are flying parallel to the ground at height of 210 m and constant speed which is 99 m/s.    How far will the package travel horizontally between the moment you release it from the plane and when it hits the ground? Assume you can ignore air resistance, and use g = 9.8 m/s2 in the downward direction.

A friend of yours has a one story house with a pool in the backyard. Someone gets the bright idea to jump from the roof of the house into the deep end of the pool. a) If the roof of the house is 16 ft tall and the horizontal distance between the edge of the house and the pool is 10 ft, what would the jumper's minimum velocity need to be to land in the pool? b) Let's assume your friend can jump with an initial horizontal velocity of 15 ft/s. What is their total velocity when they hit the water? (hint: determine both the x and y velocity components, find the resultant)

An arrow is shot from a height of 1.6m toward a cliff of height H. It is shot with a velocity of 27 m/s at an angle of 60 above the horizontal. It lands on the top edge of the cliff 3.8s later. a ) what is the height of the cliff (in m)? b) what is the maximum height (in m) reached by the arrow along its trajectory? c) what is the arrows impact speed in m/s just before hitting the cliff ?

A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?

You can use the formula for centripetal acceleration OR You have to calculate the average acceleration directly from the definition, a = delta v / delta t.  You have to first get a_x by using the velocity's initial and final x components, do a_y from the y components, and then use the Pythagorean formula to get the magnitude of the acceleration vector.

A stone is thrown with an initial speed of 20 m/s at an angle of 35° above the horizontal from the top of a 53 m building. What is the speed of the rock as it strikes the ground (ignore air resistance).

An object is initially 20 meters above the ground. It is thrown upward at a speed of 4.7 m/s at an angle of 60 degrees from the horizontal. What is the horizontal component of its velocity, in m/s, at impact (when it reaches the ground)?

Students launch a steel ball horizontally from a tabletop. The initial horizontal speed of the ball is v, the tabletop height above the floor is H.The objective is to get steel ball into the coffee can of height h. Calculate the distance D at which the students need to place the can to make a "bulls-eye". v = 6 m/sH = 7 mh = 0.17 m Use g = 10 m/s2, enter two digits after decimal.

Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?