Understanding the Problem
* Initial velocity (v₀): 36.0 m/s (upwards)
* Final velocity (v): 0 m/s (at the highest point)
* Acceleration (a): -9.8 m/s² (due to gravity, acting downwards)
* Time (t): We need to find this.
Using the Kinematic Equation
We can use the following kinematic equation to find the time:
v = v₀ + at
Solving for Time (t)
1. Plug in the known values:
0 = 36.0 + (-9.8)t
2. Solve for t:
-36.0 = -9.8t
t = -36.0 / -9.8
t ≈ 3.67 s
Answer
The ball will have a velocity of zero approximately 3.67 seconds after being thrown upwards.
