<span>et us assume that the origin is the floor right below the 30 ft. fence
To work this one out, we'll start with acceleration and integrate our way up to position.
At the time that the player hits the ball, the only force in action is gravity where: a = g (vector)
ax = 0
ay = -g (let's assume that g = 32.8 ft/s^2. If you use a different value for gravity, change the numbers.
To get the velocity of the ball, we integrate the acceleration
vx = v0x = v0cos30 = 103.92
vy = -gt + v0y = -32.8t + v0sin40 = -32.8t + 60
To get the positioning, we integrate the speed.
x = v0cos30t + x0 = 103.92t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + 60t + 4
If the ball clears the fence, it means x = 0, y > 30
x = 0 -> 103.92 t - 350 = 0 -> t = 3.36 seconds
for t = 3.36s,
y = -16.4(3.36)^2 + 60*(3.36) + 4
= 20.45 ft
which is less than 30ft, so it means that the ball will NOT clear the fence.
Just for fun, let's check what the speed should have been :)
x = v0cos30t + x0 = v0cos30t - 350
y = 1/2*(-32.8)t² + v0sin30t + y0 = -16.4t² + v0sin30t + 4
x = 0 -> v0t = 350/cos30
y = 30 ->
-16.4t^2 + v0t(sin30) + 4 = 30
-16.4t^2 + 350sin30/cos30 = 26
t^2 = (26 - 350tan30)/-16.4
t = 3.2s
v0t = 350/cos30 -> v0 = 350/tcos30 = 123.34 ft/s
So he needed to hit the ball at at least 123.34 ft/s to clear the fence.
You're welcome, Thanks please :)
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Answer:
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A Cause I just did that question
Step-by-step explanation:
22x13, 10x9, then both answers from the previous equations multiplied. Any questions?
You would need 7 freezer bags because you have to turn both fractions into improper fractions. to get that you have to multiply 15 by 4 and then add 3 so you get 63/1. Then for the next fraction, you multiply 4 by 2 and then add 1 so you get 9/1.
Now you have to divide the 2 fractions to find out how many freezer bags you need. So it would look like this. 63/1 divided by 9/1.
To divide fractions, you use the rule (keep, change, flip)
So you keep the first fraction 63/1 but you change to division sign to multiplication and lastly you flip the second fraction from 9/1 to 1/9 and now you multiply so it looks like this.
63/1 x 1/9 and you get 63/9 which equals 7 freezer bags.
I hope this helped you?? :)
