A man kicks a soccer ball that ravels 68 m in 4.3 seconds. What is the initial velocity?
To find the initial velocity of the soccer ball, we can use the kinematic equation:
d = v₀t + (1/2)at²
Where:
d is the distance traveled (68 m),
v₀ is the initial velocity (what we want to find),
t is the time taken (4.3 seconds), and
a is the acceleration (which we assume to be 0 in this case since we're assuming a constant velocity kick).
Rearranging the equation, we have:
v₀ = (d - (1/2)at²) / t
Substituting the given values, we get:
v₀ = (68 m - (1/2)(0)(4.3 s)²) / 4.3 s
Since the acceleration is assumed to be 0, the equation simplifies to:
v₀ = 68 m / 4.3 s
Simplifying further, we can calculate the initial velocity:
v₀ = 15.814 m/s
Therefore, the initial velocity of the soccer ball is approximately 15.814 m/s.