Acar is driven east for a distance of 47 km, then north for 23 km, and then in a direction 32° east of north for 27 km. determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

(a). The car's total displacement from its starting point is 76.58 m.

(b). The angle of the car's total displacement measured from its starting direction is 36.81°.

Explanation:

Given that,

Distance = 47 km in east

Distance = 23 km in north

Angle = 32° east of north

Distance = 27 km

According to figure,

Angle = 90-32 = 58°

(a). We need to calculate the magnitude of the car's total displacement from its starting point

Using Pythagorean theorem

The magnitude of the car's total displacement from its starting point is 76.58 m.

(b). We need to calculate the angle (from east) of the car's total displacement measured from its starting direction

Using formula of angle

put the value into the formula

Hence, (a). The car's total displacement from its starting point is 76.58 m.

(b). The angle of the car's total displacement measured from its starting direction is 36.81°.

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.

answer:   you might love summer weather, but you don’t want it to feel like the sun is inside your car. but a hot car that just won’t seem to cool down might be a bigger of a problem than you think. your car relies on being at the right temperature.

explanation: