Question

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?

Answer 1

@ryanvarghese12790

Answer 2

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

Answer 3

the choices does not fit the answer

Answer 4

@ryanvarghese12790

Answer 5

@hartnn

Answer 6

@ParthKohli

Answer 7

You know what vectors are though, right?

Answer 8

sum the X distance and the y distance
D=sqr(X^2+Y^2)

Answer 9

sum X= 0 + 1.8*cos(45)-0.9*cos(30)
sum Y= 3.8+1.8*sin(45)-0.9sin(30)

Answer 10

cos (45)=sin(45)=sqr(2)/2
sin(30)=1/2
cos(30)=sqr(3)/2

Answer 11

the answer must be in the choices:

a. 4.64
b.6.46
c.78.6
d. 67.8