Answer:
The object will reach its highest point 0.5 seconds after it has been thrown.
Step-by-step explanation:
The object reaches its maximum height when velocity is equal to zero, the velocity is the derivative of function height. That is:
(1)
Where is the velocity of the object at time
, in feet per seconds.
If we know that and
, then the time when object reaches its highest point is:
The object will reach its highest point 0.5 seconds after it has been thrown.
Answer:
Therefore the width is 25 feet for getting maximum area.
The maximum area of the rectangle is 625 square feet.
Therefore the range is 0≤A≤625.
Step-by-step explanation:
Given function is
A = - x²+50x
We know that ,
If y = ax²+bx+c
For the maximum
Here a = -1 , b= 50 and c=0
Therefore the width
Therefore the width is 25 feet for getting maximum area.
The maximum area =[ -(25)²+50.25] square feet
= 625 square feet
The area can not be negative and maximum area is 625 square feet.
Therefore the range is 0≤A≤625.