Question

A soccer ball is kicked 25 m east, then 15 m east, 8 m west, and finally 12 m east. All this takes place in 45 seconds. Calculate the velocity of the ball.

a) 0.5 m/s
b) 1.0 m/s
c) 1.5 m/s
d) 2.0 m/s

Answer 1

The velocity of the ball is calculated by dividing the total displacement by the total time. Given the total displacement of 44 m east and a time of 45 seconds, the velocity is approximately 0.98 m/s, which is rounded to 1.0 m/s.

Step-by-step explanation:

The student asked to calculate the velocity of the ball after it was kicked in several directions and covered certain distances over a period of time. To find the velocity, we need to calculate the total displacement of the ball and divide it by the total time taken. The ball goes 25 m east, 15 m east, 8 m west, and then 12 m east, which results in a total displacement of (25 + 15 - 8 + 12) m east = 44 m east. Since the total time for the motion is 45 seconds, the velocity (v) of the ball is displacement divided by time, which is 44 m / 45 s, equating to approximately 0.98 m/s east, which we round off to 1.0 m/s since it's the closest option to the calculated value.