Jane is running from the ivory hunters in the jungle. Cheetah throws a 7.0-m-long vine toward her. Jane leaps onto the vine with a speed of 4.0 m/s. When she catches the vine, it makes an angle of 20° with respect to the vertical.
(a) When Jane is at her lowest point, she has moved downward a distance h from the height where she originally caught the vine. Show that h is given by h = L − L cos 20°, where L is the length of the vine?
(b) How fast is Jane moving when she is at the lowest point in her swing?
(c) How high can Jane swing above the lowest point in her swing?