Question

A soccer ball is kicked straight upwards with an initial vertical speed of 8.0 meters per second. We can ignore air resistance. How long does it take the ball to have a downwards speed of 4.0 meters per second?

Answer 1

1.22 seconds

Step-by-step explanation:

Given:

final velocity 'vf' = 8 m/s,

initial velocity 'vi' = -4 m/s (downward, therefore negative)

accalaration due to gravity 'g' = 9.8 m/s²

->As the ball undergoes a vertical motion. using the formula

g = (vf - vi ) / t

time 't' = (vf - vi )/g

Substituting all the required values in above eq.

t = 8-(-4) /9.8 => (8+4)/9.8

t = 12/9.8

t = 1.22 sec

Therefore, it takes 1.22 sec for ball to have a downwards speed of 4.0 meters per second

Answer 2

1.22 s

Step-by-step explanation:

From the question, the ball undergoes a vertical motion.

Applying

g = (v-u)/t................. Equation 1

Where g = acceleration due to gravity, v = final velocity, u = initial velocity, t = time.

make t the subject of the equation

t = (v-u)/g.............. Equation 2

Let: The upward be taken as positive direction, and downward be taken as negative direction.

Given: v = 8 m/s, u = -4 m/s (downward) g = 9.8 m/s²

Substitute into equation 2

t = [8-(-4)]/9.8

t = (8+4)/9.8

t = 12/9.8

t = 1.22 s