How Fast is Kyle Traveling on His Skateboard at the Bottom of the Ramp?

What is the initial velocity of Kyle and the length of the ramp?

The initial velocity of Kyle, u=0 m/s and the length of the ramp, d=9 m.

Answer:

Using the given data, we can calculate the acceleration of Kyle and the skateboard on the ramp:

Acceleration, a = 4.9 m/s^2

Next, we can calculate the velocity of Kyle and the skateboard at the bottom of the ramp:

Velocity, v = 9.39 m/s

Kyle starts at rest at the top of a 9m ramp inclined at 30° on his skateboard. With the initial velocity of 0 m/s and the length of the ramp being 9 meters, we can determine Kyle's velocity at the bottom of the ramp. Using the formula for acceleration due to gravity at an angle of inclination, we find that the acceleration of Kyle on the ramp is 4.9 m/s^2.

Substituting the known values into the equation of motion, we can calculate Kyle's velocity at the bottom of the ramp to be 9.39 m/s. Therefore, Kyle is traveling with a velocity of 9.39 m/s at the bottom of the ramp.