Bart Jumps Springfield Gorge on his skateboard. Springfield Gorge us 50m wide, and Bart has constructed a 1.0 m Hugh ramp inclined at 30° to the horizontal. Air resistance is neglected. Homer had calculated that he can jump the gorge if the ramp is inclined to 45°, and he attains a speed of 20m/s. Will Homer make it? If not, how far short of the other side is he when he drops below the level of the ground?

A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10 m/s. What is the maximum height the ball goes above the ground? Use g = 10 m/s2.

A ball is suspended from a light 1.3 m string . The string makes an angle of 24 degrees with the vertical. The ball is then kicked up and to the right such that the string remains taut the entire time the ball swings upwards. This kick gives the ball an initial velocity of 1.1m/s. What will be the speed, in meters per second, of the ball when it reaches its lowest point (θ = 0)?  What will be the maximum angle, in degrees, the string will make with the vertical?

Please answer the following, thank you!

It's been a great day of new, frictionless snow. Julie starts at the top of the 60° slope with a push-off velocity of 1.7 m/s as shown in the diagram. At the bottom a circular arc carries her through a 90° turn, and then she launches off a 3.0-m-high ramp. How far horizontally is her touchdown point (in m) from the end of the ramp assuming that air resistance is negligible and that the local acceleration due to gravity is 9.80 m/s2?

Your nephew got a Nerf Bazooka gun for Christmas, so you take it outside to play with it (just like my uncles did when I was little). The bazooka is on your shoulder, 1.5 m above the ground. You aim the gun 25° above the horizontal and the big, foam projectile leaves the gun with an initial velocity of 36 m You accidentally aim the bazooka at a tree that is a horizontal distance of 27 m away. How long does it take for the projectile to hit the tree? t = How high (above the ground) in the tree does the projectile get stuck? hfinal = m Imagine you were more clever and aimed into an empty field with no obstructions. You can control how fast the projectile leaves the gun by pumping more times or fewer times (more pumps = faster projectile). What are TWO ways you could increase the amount of time that the projectile is in the air?

A projectile is fired from a point 50 meter from a tall cliff at 75 m/sec and at angle of 50 degrees above the horizontal. It will strike the cliff at a point h above the cliff base. What is h? What is the final speed of the projectile when it hits the cliff in the problem above?

i push a cart up a 5 degree hill at 2m/s. what is my horizontal and my vertical velocity ?

An arrow is shot from a height of 1.95 m toward a cliff of height H. It is shot with a velocity of 33 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.85 s later. What is the height H of the cliff in m? What is the maximum height reached by the arrow along its trajectory in meters? What is the arrow's speed just before hitting the cliff in m/s?

A gray kangaroo can bound across level ground with each jump carrying it 9.2m from the takeoff point. Typically the kangaroo leaves the ground at a 30 degree angle. If this is so: What is its takeoff speed? What is its maximum height above the ground?