A ping-pong ball is moving along a track so that its position at time t is give by the vector , where x(t) = 2t2-6t+3 and y(t) is unknown. Both x and y are measured in meters, and t is measured in seconds. It is know that the velocity of the ping-pong ball in the =te-2-3. y-direction is given by dy dt (a) Find the time t, 0

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.