heavenwagner

09.04.2020 • 

Mathematics

The function h(t) = -16t2 + vt + c models the height in feet of a golf ball after t seconds when it is hit
with initial vertical velocity v from initial height c feet. A golfer stands on a tee box that is 21 feet above
the fairway. He hits the golf ball from the tee at an initial vertical velocity of 64 feet per second.
Part 1 out of 3
Enter an equation that gives the time t when the golf ball lands on the fairway at height 0.
2 + 1 t
=
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Ответ:

dean111375

16.02.2022

Mathematics

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k = 1

P(t) = (t + 20)²

Step-by-step explanation:

P' = k√P = k P⁰•⁵

To solve for k,

P' = 10 rabbits/month

P = 100 rabbits

10 = k √100

10 = 10k

k = 1

To solve for P(t)

P' = dP/dt

(dP/dt) = kP⁰•⁵

dP/P⁰•⁵ = k dt

P⁻⁰•⁵ dP = k dt

∫ P⁻⁰•⁵ dP = ∫ k dt

2P⁰•⁵ = kt + c

At t = 0, P = 100

2(100)⁰•⁵ = 0 + c

2 × 10 = c

c = 20

2P⁰•⁵ = kt + c

2P⁰•⁵ = kt + 20

Recall, k = 1

2P⁰•⁵ = t + 20

P⁰•⁵ = (t + 20)

P(t) = (t + 20)²

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