Question

With steps please and thanks.

A forklift boom is initially in the position shown. a If extended 16 ft, and lifted from 12 to 35 find total fork displacement. b lf position change occurs一一” in 6 seconds, determine average velocity. A rocket initially at rest reaches a velocity of 40 m's in 5 seconds. What is the average acceleration? An aircraft accelerates at 3.20 m/s2 for 32.8 s until s finally lifts off the ground. Determine the distance traveled before takeoff, and velocity at takeoff.

Answer 1

The boom moves from position A to B AD = 16 ft in triangle ADC, AC/AD = Cos 13, AC = 16 Cos 12 = 16 times - 98 = 15.65 ft Now in triangle ABC, AC/AB = Cos 35 AB = AC/Cos 35 = 15.65/.theta 19 = Vertical-bar theta - 3 Vertical-bar ft so displacement = AB = Vertical-bar theta - 3 Vertical-bar ft Now Average velocity = AB/time = Vertical-bar theta - 3 Vertical-bar /6 = 3.5 ft/sec Average acceleration = change in velocity/time = 40/5 = 8 m/s^2 Assuming aircraft acceleration from zero velocity, v_f = u + at rightdoublearrow v = at = 3.2 times 32 theta = 104.96 m/sec distance s = ut + 1/2 at^2 = 0 + 1/2 times 32.theta times 32.8 = 1721.34 meter