Answer:
2.908 s
Step-by-step explanation:
The "work" is most easily done by a graphing calculator. We only need to tell it the equation of motion.
For speeds in feet per second, the appropriate equation for vertical ballistic motion is ...
h(t) = -16t² +v₀t +s₀
where v₀ is the initial vertical velocity in ft/s and s₀ is the initial height in feet. The vertical velocity is the vertical component of the initial velocity vector, so is (65 ft/s)(sin(44°)). We want to find t for h=0.
0 = -16t² +65sin(44°) +4
Dividing by -16 gives ...
0 = t^2 -2.82205t -0.2500
Using the quadratic formula, we find ...
t ≈ (2.82205 ±√(2.82205² -4(1)(-0.25))/2 ≈ 1.41103 +√2.24099
t ≈ 2.90802
It will take about 2.908 seconds for the discus to reach the ground.
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<em>Comment on the question</em>
You're apparently supposed to use the equation for ballistic motion even though we know a discus has a shape that allows it to "fly". It doesn't drop like a rock would.
Answer:
No solutions I think
Step-by-step explanation:
Answer:
square root of 192
Step-by-step explanation:
12 cos 30 degrees + 2 tan 60 degrees
= 12* (root 3 /2) + 2* root 3 [as cos 30= root 3/2 and tan 60 = root 3]
=6 root 3 + 2 root 3
= 8 root 3
= square root of 64*3
=square root of 192
= square root of k [ where k = 192 = integer]
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
B
Step-by-step explanation:
From the question we are told that
The length is 
The width is 
The height is 
Generally the total surface area of the open, rectangular box is mathematically represented as
=> 
=> 
From the question we are told that
$36.00 worth of paint covers 
So $x worth of paint covers 
=> 
=>
Generally the volume of the open, rectangular box is mathematically represented as
=> 
=> 
From the question we are told that
weigh 62 pounds
weigh z pounds
=> 
=>
Answer:
238 should be the answer
Step-by-step explanation:
