You need to solve this for h(t)=0

<span>-16t^2-30t+124=0

This has two solutions, one is negative that does not make sense as time cannot be negative.
The positive solution is t=2

So the interval where it is in the air is [0;2)

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5 0

3 years ago

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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt

ser-zykov [4K]

Answer:

$I(t)=\frac{1}{3}(1-e^{-30t})$

Step-by-step explanation:

We are given that

$\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}$

R=150 ohm

L=5 H

V(t)=10 V

$P=\frac{R}{L}=\frac{150}{5}=30$

$I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}$

$I(t)\times I.F=\int e^{30 t}\times 10 dt+C$

$I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C$

$I(t)=\frac{1}{3}+Ce^{-30 t}$

I(0)=0

Substitute t=0

$0=\frac{1}{3}+C$

$C=-\frac{1}{3}$

Substitute the values

$I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}$

$I(t)=\frac{1}{3}(1-e^{-30t})$

5 0

3 years ago

Sara weight 25 pound-more than amber if together they weight 205 what is the weight of sara ??

serg [7]

Let Sara weight =x+25
amber wiegh =x
x+25+x=205
x= 90
Sara weight is 90+25= 115

7 0

3 years ago

Jenna has at most $100 to spend on clothes. She wants to buy a pair of jeans for $29 and spend the rest on shirts. Each shirt co

maw [93]

Answer:

5 shirts (read explanation)

Step-by-step explanation:

14x+29=100

14x=71

x=5.1

She can buy 5 shirts

8 0

3 years ago