A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 3.80 m to the north, 1.80 m northeast, and 0.90 m at 30.0° west of south. Starting at the same initial point, an expert golfer could make the hole in what single displacement?
________m
________° (north of east)
________m
________° (north of east)
-
Horizontal___________Vertical
0___________________3.8
1.8 cos 45°__________1.8 sin45°
- 0.9 sin 30°_________-0.9 cos30°
0.823________________4.29
d = 0.823 i + 4.29 j
d = 4.37
tan Ө = 4.29 / 0.823
Ө = 79.1°
Single displacement is 4.37 m at angle 79.1 ° N of E
0___________________3.8
1.8 cos 45°__________1.8 sin45°
- 0.9 sin 30°_________-0.9 cos30°
0.823________________4.29
d = 0.823 i + 4.29 j
d = 4.37
tan Ө = 4.29 / 0.823
Ө = 79.1°
Single displacement is 4.37 m at angle 79.1 ° N of E
-
Thank you----pleased to help.
Report Abuse