Please help I don't have any clue on how to solve this problem!!! Please help!
Suppose you are tossing an apple up to a friend on a third story balcony. After t seconds, the height of the apple in feet is given by h = -16t^2 + 38.4t + .96. Your friend catches the apple just as it reaches its highest point. How long does the apple take to reach your friend, and at what height above the ground does your friend catch the apple?
Suppose you are tossing an apple up to a friend on a third story balcony. After t seconds, the height of the apple in feet is given by h = -16t^2 + 38.4t + .96. Your friend catches the apple just as it reaches its highest point. How long does the apple take to reach your friend, and at what height above the ground does your friend catch the apple?
From the height formula, the initial upward speed is 38.4 ft./sec.
From Vf = Vo - gt, Vf = 0, Vo = 38.4 ft./sec. and g = 32 ft/sec.^2.
0 = 38.4 -32t making t = 1.2 sec.
Therefore, h = 38.4(1.2) - 16(1.2)^2 + .96 = 24 ft.
Time to friend is 1.2 sec. at h = 24 ft.
how did you get g equaled to 32ft/sec^2? I'm a little confused on that part?
How did you get 32ft for g?
The earth's surface acceleration due to gravity is g = 32.2 ft/sec^2, rounded off to 32.
(01.05)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)? (1 point)
y = −5x + 18
y = 5x − 18
y = −5x − 18
y = 5x + 18
To find the time it takes for the apple to reach your friend, you need to find the vertex of the parabolic equation h = -16t^2 + 38.4t + 0.96. The vertex represents the highest point of the parabola, which is when the apple reaches its maximum height.
The vertex of a parabola in the form h = at^2 + bt + c can be found using the formula t = -b / (2a). In this case, a = -16 and b = 38.4.
Substituting the values, we have t = -38.4 / (2 * (-16)). Simplifying this further, we get t = -38.4 / (-32). This gives us t = 1.2.
Therefore, it takes 1.2 seconds for the apple to reach your friend.
To find the height at which your friend catches the apple, substitute the value t = 1.2 back into the equation h = -16t^2 + 38.4t + 0.96.
Plugging in t = 1.2, we have h = -16(1.2)^2 + 38.4(1.2) + 0.96.
Simplifying this equation, we get h = -16(1.44) + 46.08 + 0.96.
Further simplifying, h = -23.04 + 46.08 + 0.96.
Adding all the terms, h = 24.
Therefore, your friend catches the apple at a height of 24 feet above the ground.