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VashaNatasha [74]
3 years ago
10

Mary throws her Grandma’s favorite crystal dish out the second floor window, which is 6 meters from the ground. She is really up

set and tosses it at 35 meters per second.
Write an equation to represent the situation above.

I really don't understand, I've been trying to understand it but I honestly can't.
Mathematics
2 answers:
EastWind [94]3 years ago
7 0
Y=y1 + v1 + 1/2gt^2

Y= 6m+35m/s^2*t+1/2(9.8m/s^3)t^2
wlad13 [49]3 years ago
4 0

we know that

acceleration due to gravity is 9.8m/s^2

so, we get

a(t)=9.8

and acceleration will always be constant

we know that

integral of acceleration is velocity

so, we can integrate both sides

\int \:a\left(t\right)dt=\int \:9.8dt

v(t)=9.8t+C

we are given

v(0)=35m/s

we can use it and find C

v(0)=9.8*0+C

35=9.8*0+C

C=35

now, we can plug it back

v(t)=9.8t+35

we know that

integral of velocity is height

we can integrate it again

\int \:v\left(t\right)dt=\int \:\left(9.8t+35\right)dt

s(t)=\int \:\left(9.8t+35\right)dt

s(t)=4.9t^2+35t+C

now, we have

s(0)=6

we can use it and find C

s(0)=4.9(0)^2+35(0)+C

6=4.9(0)^2+35(0)+C

now, we can plug back C

C=6

and we get

s(t)=4.9t^2+35t+6.............Answer

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