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Scrat [10]
3 years ago
5

Will give brainliest to first answer

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

the answer is 1500

Step-by-step explanation:

please give brainlyest

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A rock is tossed upward. Its height after t seconds is given by S = −16t2 + 24t + 3 feet. What is its maximum height? When does
Mama L [17]

Answer:

Step-by-step explanation:

The height of the rock ,(s), in feets after t seconds is given by the function

S = −16t^2 + 24t + 3

The given function is a quadratic equation. If values of height attained is plotted against time, the shape of the graph will be a parabola whose vertex would correspond to the maximum height obtained by the object.

Vertex of the parabola = -b/2a

a = - 16

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So the maximum height is 0.75 feet

To determine the time at which it will reach a maximum height of 0.75, we will substitute s = 0.75 into the equation.

S = −16t^2 + 24t + 3

0.75 = −16t^2 + 24t + 3

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Applying the general formula for quadratic equation,

t = b ± √b^2 - (4ac)]/2a

a = -16

b = 24

c = 2.25

t = - 24 ± √24^2 - 4(-16 × 2.25)]/2×-16

t = - 24 ± √(576  + 144)]/-32

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t = - 0.088 or t = 1.588

The time cannot be negative so,

The time take to reach maximum height is 1.588 seconds

4 0
3 years ago
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