Problema Solution
A soccer ball is kick upward from the ground with an initial vertical velocity of 3.6 meters per second. After how many seconds does it land?
Answer provided by our tutors
Let
v = 3.6 m/s is the initial velocity
g = 9.8 m/s^2 is the acceleration due to gravity
h = the height
t = the time
We know that the height is a function of the time 't':
h(t) = vt - (1/2)g*t^2
When the ball lands the height is 0, that is:
h(t) = 0
vt - (1/2)g*t^2 = 0
3.6t - (1/2)*9.81*t^2 = 0
........
Click here to see the step by step solution for t
........
t = 0.73 s
The soccer ball will land after 0.73 seconds approximately.