Question

(30%)A hiker begins a trip by first walking 55.0 km 30.0° south of east fromthe base camp. She then walks 35.0 km in a direction 60.0 north of east. She subsequently walks 634km 45.0 west of north and 75km 35.0 south of west to reach the ranger's tower. 1. Find the resultant/total displacement of the hiker's trip. o)An athlete participates in a long-jump competition, leaping into the air with a speed of Vo at an angle 9o above the horizontal axis. 2. (309 eo 0 (a) Obtain a symbolic expression for the length of the jump in terms of Vo. Oo, and g (gravitational acceleration); (b) If the athlete keeps the initial speed Vo constant while varying the angle Oo in the jump, what angle of the jump? Op should the athlete jump in order to obtain the maximum length (e) What is the maximum length of the jump expressed in terms of Vo and g. 3. (4096)A fisherman weigh

Answer 1

1. Ans. 42.49 km 82.24 degree west of north

Let Vertical-bar A vector Vertical-bar km 30 degree south East A vector - 55 Cos 30 i^- +)-55 sin 30 degree j) = 55 Cos 30 degree i^- - 55 sin 30 j^- A vector = 47.63 i^- - 27.5 j^- Vertical-bar B vector Vertical-bar = 35 km 60 degree North-East B vector = 25 Cos 60 i^- + 35 sin 60 j^- B vector = 17.5 i^- + 30.81 j^- Vertical-bar C vector Vertical-bar = 65 km 45 degree west of North C vector = -65 Cos 45 degree i^- + 65 sin 45 degree j^- C vector = -45.9 i^- + 45.9 j^- Vertical-bar D vector Vertical-bar = 75 km 35 degree south of west D vector = -75 Cos 35 degree i^- - 75 sin 35 degree j^- D vector = -61.43 i^- - 43 j^- \r\n result displacement R vector = A vector + B vector + C vector + D vector R vector (47.63 i^- - 27.5 j^-) + (17.5i^- + 30.31 j^-) + (-45.9 i^- + 45.9 j^-) + (-61.43 i^- - 43 j^-)

2. Ans.