A skier departs the ramp of **a ski jump** at 10.0 m/s and 15.0 degrees above the horizontal. The slope is 50.0 degrees, and air resistance is minimal. Determine the distance between the ramp and where the jumper lands, as well as (b) the velocity components right before landing. Hint: Use the equation for velocity change with time.

Here's how:

The vertical rise is 30 m, so that's how high the jumper goes.

The horizontal distance traveled is simply the height of the jump, which is 30 m.

The angle of ascent is 15 degrees, so the vertical component of the velocity is 1.5 m/s. This equals 30 m / 0.15 = 200 m/min.

The horizontal component of velocity is? M/s. You're given that the initial speed was 10 m/s, so you need to find the rate of decrease. Since the object is falling under its own weight, it must have **a negative value** for its acceleration. So, -10 m/s2 would work here.

You can calculate distance using x displacement divided by velocity component in x direction, plus y displacement divided by velocity component in y direction.

In a long jump event, a competitor jumps 7.56m horizontally. The athlete was in the air for 3.04 seconds. The acceleration due to gravity is calculated to be 9.81m/s2. Assume **no air resistance** and determine his take-off speed (starting velocity) in meters per second. Hint: Use the formula v = u + at.

Take off speed is the speed an object starts moving after being released or thrown from rest. For example, if you were to throw a ball up in the air, its starting velocity would be zero because it wouldn't have **any movement** until after it was released. However, once it is released it will start to move backwards (because of gravity) until it hits the ground or another object to which it is attached. The greater the mass of the object, the farther it will travel before hitting the ground or another object with which it is associated.

For example, if you were to throw a ball up in the air and it traveled **20 feet** then its starting velocity would be around 40 miles per hour because 20 feet x 9.81 m/s2 = 196.4 m/s which is close to 200 m/s since we are looking at feet vs meters per second.

10 to 15 ft. Ski jumpers never soar more than 10 to 15 feet above the ground. They land 100 meters from the end of the ramp, following the curvature of the slope. The goal is to land as softly as possible.

The starting gate is opened and the skier is released at a height of 30 meters (100 feet). They use both hands to control the speed and direction of **their body** as it travels down the hill.

When a person jumps off a ramp they are using an energy conversion system called a parachute. When you jump out of a plane or car you are using your parachute to convert **kinetic energy** into **potential energy** by slowing your descent. Parachutes are made up of panels that are either sewn together or molded together with plastic fibers. A main panel contains a number of interlocking ribs and membranes that form the shape of the canopy. This is what provides the majority of the parachute's resistance to falling objects. A suspension line connects the parachute to the jumper, allowing them to guide the parachute in the right position during flight. A recovery system is also used to help bring the jumper back to earth if they are able to stay aloft for several minutes without opening **their chute**.

People who parachute jump for fun usually call themselves parachutists or skydivers.