<u>Answer: </u>
Maximum height reached by the ball thrown up at 30m/s is 3.06 seconds and the height reached is 45.9 meters
<u>Explanation</u>:
Given:
Initial velocity
To find :
maximum height =?
time taken=?
Solution:
<em>Step 1:Finding the time taken to reach the highest point</em>:
The velocity of the ball at its highest ,final velocity v=0
Using the formula,
Where a is acceleration due to gravity.Its value is
Substituting the values:
<em>Step 2: finding the highest point </em>
Using the formula
where
s is the maximum highest.
Substituting values
Result:
Thus the maximum height reached is 45.9 meters in 3.06 seconds