Question

A ball rolls to the east at 40 m/s for 20 seconds, which of the following is true?

a
At the end of that time the displacement of the ball from the origin will be 800 meters
b
At the end of that time the distance of the ball from the origin will be 800 meters
c
At the end of that time the distance of the ball from the origin will be 800 meters
d
At the end of that time the displacement of the ball from the origin will be 2 meters
e
At the end of that time the distance of the ball from the origin will be 400 meters

Answer 1

The ball's displacement and distance from the origin after rolling eastward at 40 m/s for 20 seconds will both be 800 meters, since it is moving in a straight line without any directional changes.

Step-by-step explanation:

If a ball rolls to the east at a consistent speed of 40 m/s for a duration of 20 seconds, we can calculate its displacement and distance. Displacement refers to an object's overall change in position, while distance refers to the total path length covered by the object. Given that the ball is moving in a straight line and assuming no directional changes, displacement is equal to distance in this context.

To find the displacement or distance, we use the formula:

displacement = velocity × time

Therefore:

displacement = (40 m/s) × (20 s) = 800 meters

So, at the end of the 20 seconds, both the displacement of the ball from the origin and the distance of the ball from the origin will be 800 meters.