Answer:
the answer is 306.25 feet and b is 8 sec
Step-by-step explanation:
Explanation
The height of the ball as a function of the time is given by the following formula:
A. Maximum height of the ball
To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:
Solving the last equation for t, we get time t when the height is maximum:
So the maximum height is given by the value of h(t) when t = 2.5:
The maximum height is 196ft.
B. Time until the ball hits the ground
The ball will hit the ground when h(t) = 0. So we must find the value of t such that:
Solving this equation is equivalent to finding the roots of a second-order polynomial:
Where:
• a = -16,
,
• b = 80,
,
• c = 96.
The roots of this polynomial are given by the following formula:
s
Answer
A. The maximum height of the ball is 196 ft.
Answer:
see attachment
Step-by-step explanation:
If you travel at a constant speed, you follow this formula:
where s is the space traveled, v is the speed and t is the time passed. Knowing the speed and the desired space, we can solve the equation for the time:
Plug your values:
And two-thirds of an hour are 40 minutes.
To convert his speed in miles per minutes, you only need to use that one hour is composed of 60 minutes:
miles per minute
Step-by-step explanation:
let the 2 integers be x and x + 1
2(x + 1) + 186 = x
2x + 188 = x
x = -188
therefore the 2 integers are -188 and -187
Topic: Algebraic equations
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