Answer:
Step-by-step explanation:
Collect like terms and calculate the sum
<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:
Design 1
Step-by-step explanation:
Design one would work better because the students get to see both materials (each on one foot) and if they do the same things each day with both feet, they can test how the material works with the activity...If that makes sense
<span>A- 4 quarts over 8.7 gallon
B- 1 gallon over 4 quarts
C- 8.7 gallons over 4 quarts
D- 4 quarts over 1 gallon</span><span>Update: </span><span>Remember that 1 gallon = 4 quarts
</span>
Answer:
the number of hamburgers sold on Thursday were 325.
Step-by-step explanation:
The total number of hamburger and cheese burger is missing
i will replace it with any figure, you can replace it wit your given data and you will get the solution.
A local hamburger shop sold a combined total of 593 hamburgers and cheeseburgers on Thursday
There were 57 fewer cheeseburgers sold than hamburgers
How many hamburgers were sold on thursday
Let h be the number of hamburgers and c be the number of cheeseburgers.
Using this information we can set up two equation as:
Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:
Therefore, the number of hamburgers sold on Thursday were 325.
