Question

A rocket travels vertically at a speed of 1300 km/hr. The rocket is tracked through a telescope by an observer located 14 km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after the lift-off. (Give your answer to two decimal places.) rad/hr

Answer 1

som given velocity a rocket = 1300 km/ne & diagram given K- -14km dy = 1300 launch Telescope pad We know I = tano in right angley triangle y = x tano = 14 km (constant y = 14 tano diffrentiate with respect to t dy - 14 octano) ay dt 14 (sec?o) de - de la sector

when rocket travelled at so at to smin: 3 hr speed of 1300 kcal y 1000 Y= (da) * = (1309) * 3 y = 65/km then tano = = 65 and sec²o - It tanza = 1+ ()*= 70 . 1 + 4225 196 - 442) 196 substitute value in eano (sec²a = 4421 196 (1300) dt 1484421 196 14 (1300) = (4. 1167) ood 44 21