1. For which trip do the distance and displacement have the same magnitude? A. A

Question

1. For which trip do the distance and displacement have the same magnitude?

A.  A dog chases its tail in a circle.

B.  You walk around the block to your friend's house.

C.  A drag racer accelerates down a straight track to the finish line.

D.  A circus performer fired out of a cannon flies through the air.

2.

A skateboarder starts pushing from rest and accelerates at a constant rate of 1.2 m/s2 until she reaches a speed of 5.4 m/s. How far does she travel during this acceleration? Assume she travels in a straight line.

A. 6.4 m

B. 24 m

C.  9.3 m

D. 12 m

3. A 7.2 m ladder leaning against a building just barely reaches a window 6.6 m above the ground. How far is the bottom of the ladder from building?

A. 0.6 m

B. 9.8 m

C. 3.7 m

D. 2.9 m

4.

If we drop them from rest, a feather and a bowling ball fall at different rates on Earth. Would they fall at the same or different rates on the Moon and why?

A.  the same, since the Moon's mass is less than the Earth's

B.  different, since the Moon's mass is less than the Earth's

C.  different, since they have different masses

D.  the same, since the Moon has virtually no atmosphere and thus no air resistance

5.

A box of mass m slides at constant speed down a plane inclined at angle ?. What is the magnitude of the kinetic friction force on the box? (g = acceleration due to gravity)

A. mg sin ?

B.  mg cos ?

C.  mg tan ?

D. mg

Explanation / Answer

here,

1)

for the distance and displacement have the same magnitude

the correct answer is C. A drag racer accelerates down a straight track to the finish line

as it goes in straight line and the direction of motion remains the same

--------------------------------

2)

intial speed , u = 5.4 m/s

accelration , a= 1.2 m/s^2

final speed , v = 5.4 m/s

let the distance travelled be s

using third equation of motion

v^2 - u^2 = 2 * a * s

5.4^2 - 0 = 2 * 1.2 * s

s = 12 m

the distance travelled is D) 12 m

3)

length of ladder , l = 7.2 m

height , h = 6.6 m

the distance of bottom of ladder from the building , s = sqrt(l^2 - h^2)

s = sqrt(7.2^2 - 6.6^2) m

s = 2.9 m

the distance of bottom of ladder from the building is D) 2.9 m

4)

as the accelration due to gravity is same for both ball and feather and

the Moon has virtually no atmosphere and thus no air resistance

they will fall at the same rate

so, the correct answer is D. the same, since the Moon has virtually no atmosphere and thus no air resistance

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