Question

A rocket is being launched into space, on a vertical trajectory. 2 km away from the launch pad, a camera films this event from the ground. The camera is pointed

directly at the rocket during the entire launch. When the rocket is 2 km off the ground, it is traveling at a speed of 0.2 m. (a) [2 points] Draw a sketch depicting this scenario. Label all variables used in part (b) below. (b) [6 points] At the instant when the rocket is 2 km off the ground, how quickly is the angle of elevation of the camera increasing? (i.e. the acute angle swept out from the horizontal up to the rocket.)

Question image 1Question image 2Question image 3