A small rocket is fired from a launch pad 15 m above the ground with an initial velocity (250,350,500) m/s. A cross wind blowing to the north produces an acceleration of the rocket of 3 m/s. Assume the x-axis points east, the y-axis points north, the positive z-axis is vertical (opposite g), and the ground is horizontal. Answer parts a through d. ..... a. Find the velocity and position vectors for t2 0.

A rescue plane flies horizontally at a constant speed searching for a disabled boat. When the plane is directly above the boat, the boat's crew blows a loud horn. By the time the plane's sound detector perceives the horn's sound, the plane has traveled a distance equal to one-third its altitude above the ocean. (a) If it takes the sound 2.18 s to reach the plane, determine the speed of the plane. Take the speed of sound to be 343 m/s. m/s (b) What is its altitude? m

Solve the following problems. A windmill blade with a diameter of 70 feet completes 6 rotations per minute. Calculate the linear speed (in 1. feet per minute) of the windmill blade.

A car moves in a straight line and its odometer readings are plotted against time in Fig. 2-1. Find the instantaneous speed of the car at point A and B, What is the car's average speed? What is the acceleration?