A skateboarder starts up a 1.0-m-high, 30° ramp at a speed of 6.9 m/s. The skateboard wheels roll without friction. At the top, she leaves the ramp and sails through the air. A) How far from the end of the ramp does the skateboarder touch down?

# Tag: velocity function

Your car tire is rotating at 4.0 rev/s when suddenly you press down hard on the accelerator. After traveling 300 m, the tire's rotation has increased to 6.5 rev/s . The radius of the tire is 32 cm. What was the tire's angular acceleration? Give your answer in rad/s²?

The figure shows the angular-velocity-versus-time graph for a particle moving in a circle. A) How many revolutions does the object make during the first 4.0 s?

A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 200 m above the glacier at a speed of 190 m/s.

Alex, a mountaineer, must make it across a wide crevasse. Alex runs horizontally off the edge and successfully makes it to the other side of the crevasse, which is below the point from which he takes off, as shown in the figure.

A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 17.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration.

Conceptual Problem about Projectile Motion

You are attempting to row across a stream in your rowboat. Your paddling speed relative to still water is 3.0 m/s (i.e., if you were to paddle in water without a current, you would move with a speed of 3.0 m/s ). You head off by rowing directly north, across the stream. Assume that the stream flows east at 4.0 m/s, determine how far downstream of your starting point you will finally reach the opposite shore if the stream is 6.0 meters wide.

Which direction best approximates the direction of acceleration when the object is at position 1?

An object moves along the x-axis. The position as a function of time is given by c(t)=at^3+bt+c. What is the object's acceleration at time t = 0.50 s?