The following data was collected for the distance traveled versus time for a rocket: t, s 0 15 30 45 60 75 y, km 0 1.69 7.19 17.2 32.3 53.3 Use numerical differentiation to estimate the vertical component of the rocket’s velocity and acceleration at t = 0, t = 30, and t = 60 seconds. At each time, use the least computationally expensive algorithm with an O(h4 ) error. The numerical differentiation formulae can be found on the equation sheet.

If it takes a planet 2.8 x 10^8 s to orbit a star with a mass of 6.2 x 10^30 kg what is the average distance between the planet and the star

Samir watches a 100-minute movie on his spaceship. maria's spaceshipe flies in the same direction as samir's spaceship but she observes his move to last 125 minutes and his spaceship to be 40 m long. how long does samir observe his own spaceship to be? according to an observer on earth, planet x is stationary. maria and samir depart earth on their spaceships at the same time, each flying at 0.5c. maria flies toward planet x and samir flies in the opposite direction. according to maria, her voyage to planet x takes 9 years. how many years does marias voyage take according to samir?

Match each scenario to the form of energy it represents