A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

$t\approx 0.1s$

Step-by-step explanation:

From the question we are told that

Initial velocity $V_0= 18 ft/s$

Initial Height $h_1=5feet$

Final Height $h_2=4feet$

Generally the Newtons equation for motion is mathematically given by

$V^2 = U^2 + 2as$

Where

$s=h_2-h_1\\s=4-5\\s=-1ft$

And

$a=g=>9.81\\a=32.2ft/s^2$

Therefore

$V^2 = (18)^2 + 2(-32.2)(-1)$

$V^2 = 388.4$

$V =19.70786645\\V=19.71ft/s$

Generally the equation for Time is mathematically Given as

$t=\frac{V-U}{a}$

$t=\frac{19.71-18}{32.2}$

$t=0.05310559006$

$t\approx 0.1s$

Therefore the time spent on air by the ball is

$t=0.05310559006s$

4 0

2 years ago

Find the area of this shape? HELP Radius is 2 area is 3.14

notka56 [123]

You shouldn’t need radius but the area is 46

you make the thing hanging of a square and the other big shape a triangle then 2x3 is 6 and 8x10 decided by 2 is 40 and 40+6 is 46

5 0

2 years ago

Read 2 more answers

Mary is 21 years old. Her age is 9 years more than 3 times Henry’s age. Which equation can be used to determine x, Henry’s age i

nika2105 [10]

Answer:4

Step-by-step explanation:

21=3x+9

12=3x

X=4

4 0

3 years ago

The system of equation y=-2x+3 and y=x is graphed.what is the solution to the system of equations

zloy xaker [14]

Answer:

(x, y) = (1, 1)

Step-by-step explanation:

Using the second equation to substitute for y in the first equation, we have ...

x = -2x +3

3x = 3 . . . . . . . add 2x

x = 1 . . . . . . . . .divide by 3

y = x = 1

The solution is (x, y) = (1, 1).

_____

If you have the graph, you can read the solution from it as the coordinates of the point where the lines cross.

4 0

3 years ago