Acyclist rides her bike 7 mi east, and then 2 mi north before taking a break. then she rides 5 mi east and then 3 mi north. what are the magnitude and direction of the cyclist’s resultant displacement?

magnitude: 10.9 mi; direction: 22.6° north of east

magnitude: 10.9 mi; direction: 67.4° north of east

magnitude: 13.0 mi; direction: 67.4° north of east

magnitude: 13.0 mi; direction: 22.6° north of east

D 13.0mi, dir 22.6° north of east

Explanation:

Total movement east is 7+5 miles, or 12 miles. Total movement north is 2+3 miles, or 5 miles. The total displacement, as the crow flies, is of miles. The angle is the inverse tangent of north/east, or

the independent variable, the one that is intentionally manipulated, is whether or not the car hits the barrier.

the dependent variable, the one that you measure the response in, is the distance that the washers travel.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft