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Mathematics 107 Online
zarkam21:

?

zarkam21:

1 attachment
Vocaloid:

first we will find how long it takes to reach the top of the parabola equation 1 using the vertical velocity only, solve for t

zarkam21:

4.3*65?

Vocaloid:

initial y-velocity = 4.3sin(65)

zarkam21:

3.9

Vocaloid:

good, now plug that into the k-eq and solve for t

zarkam21:

which number equation would that be 3 or 4

Vocaloid:

equation 1

zarkam21:

3.9=4.3+ax

Vocaloid:

we are looking to see how long it takes to reach the top of the parabola the velocity at the top of the parabola is 0 set final velocity equal to 0 set initial velocity equal to the velocity in the y-direction only then solve for t

zarkam21:

0=3.9

Vocaloid:

that + at solve for t

zarkam21:

0=3.9+(9.8)t

Vocaloid:

good just be sure to put a negative sign on a

zarkam21:

0.4

Vocaloid:

good so the ball stays up for 0.4*2 = 0.8 seconds now, to find the horizontal distance use horizontal velocity = horizontal distance/time solve for horizontal distance

zarkam21:

0.8*4.3?

Vocaloid:

horizontal velocity = ?

zarkam21:

4.3

Vocaloid:

the velocity is being thrown at an angle so you must resolve into its horizontal component

zarkam21:

oh 3.9

Vocaloid:

horizontal and vertical components of velocity (I would recommend writing this down) horizontal = velocity * cos(theta) vertical = velocity * sin(theta)

Vocaloid:

horizontal component = ?

zarkam21:

4.3*cos(65)

Vocaloid:

good then use that to calculate the distance

zarkam21:

1.81

zarkam21:

and then 3.9

Vocaloid:

distance = velocity * time = 4.3*cos(65) * 0.8 sec = ?

Vocaloid:

it's 1.4 I'm going to bed, gn

zarkam21:

SO D

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