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

Question

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.

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

Explanation / Answer

here,

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

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

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

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