Chanice Drives Her Scooter 7 Kilometers North. She Stops For Lunch And Then Drives 5 Kilometers East. What Distance She Cover? What Was Her Displaceme

chanice drives her scooter 7 kilometers north. she stops for lunch and then drives 5 kilometers east. What distance she cover? What was her displacement?

 

Let d represent as displacement.

Let R represent as resultant.

Let Φ represents as the angle.

Given:

d1 = 7 km, 90°

d2 = 5 km, 0°

Formula:

Distance:

Total distance is equal to the summation of the magnitudes travelled.

Displacement:

For horizontal x-axis:

(n)(cosΦ)

For vertical y-axis:

(n)(sinΦ)

For the resultant (or the magnitude displacement):

R = √((x)^2 + (y)^2)

For the angle (althought unnecessary):

Φ = arctan (y/x)

Equation:

Distance:

d1 = 7 km

d2 = 5 km

total d = d1 + d2 = 12 km

Displacement:

d1x = (7 km)(cos90) = 0 km

d1y = (7 km)(sin90) = 7 km

d2x = (5 km)(cos0) = 5 km

d2y = (5 km)(sin0) = 0 km

Summation of dx = (d1 + d2)x = 5 km

Summation of dy = (d1 + d2)y = 7 km

R = √74 km or 8.602325267

Φ = 54.46232221°

Answer:

The total distance travelled is 12 km and the magnitude of displacement is approximately 8.60 km (or 9 km) at an angle of approximately 54.46° (or 54°).