Question

3 Motion in Two or Three Dimensions Dashed arrows show how far the dart and monkey have fallen at specific times relative to where they would be without gravity At any time, they have fallen by the same amount. ilizer dart hits the falling monkey Without gravity The monkey remains in its initial position The dart travels straight to the monkey Therefore, the dart hits the monkey Monkey's fall Dart's Trajectory of dart without gravity d tan o fall Dart's fall Trajectory of dart with gravity With gravity The monkey falls straight down. At any time t, the dart has fallen by the same amount as the monkey relative to where either would be in the Therefore, the dart always hits the monkey ations, we see that we'll have equal; a dart aimed at the monkey always hits it, no matter and a hit) if dtanao (osinao)t when the two is (provided the monkey doesn't hit the ground firs). Thi e equal. To show that this happens, we replace 1 independent of the value of g. the acceleration due to grav ), the time when monkey Xdart Sure enough. no gravity (80), the monkey would remain motionles dart would travel in a straight line to hit him. With gra fall the same distance gr/2 below their t-0 positions Uocos ao dart still hits the monkey (Fig. 3.26). e proved that the y-coordinates of the dart and equal at the same time that their x-coordinates are

Answer 1