Answer:
- h = -16t^2 + 73t + 5
- h = -16t^2 + 5
- h = -4.9t^2 + 73t + 1.5
- h = -4.9t^2 + 1.5
Step-by-step explanation:
The general equation we use for ballistic motion is ...

where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.
The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.
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Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)
A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)
Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)
Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)
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<em>Additional comment on these scenarios</em>
The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for <em>vertical</em> motion, so we must assume the launches are <em>straight up</em> (or that the up-directed component of motion is 73 units/second).
Answer:
I believe it would be either the 30° or the 60° the image is a little blurry .
Answer:
Mean strength is 18.94 and your standard deviation is 0.5.
So the proportion of bolts that meet the specifications is 97%.
Step-by-step explanation:
First of all determine the z- scores of these points.There are 10% of bolts with a strength less than 18.3 kN and this normally distributed you can use chart or calculator to calculate z-score. As i have 5% then z-score is -1.28.Then check the other 19.76kN then find that it has a z-score of 1.64.
To check the difference subtract 19.76 and 18.3 then you get 1.46.
Subtract z-scores 1.64 - (-1.28) = 2.92
Then standard deviation is 1.46/2.92 = 0.50
mean of the bolts is obtained by adding 1.28 *0.5 = 0.64 to 18.3 then
subtract 1.64 *0.5 = 0.82 to 19.76
Then mean is 18.94
Mean strength is 18.94 and your standard deviation is 0.5.
For strength specification. First, we find the z-score for this value:
(18-18.94)/0.5=-1.88
the probability of a bolt being made stronger than this z-score.It is approximately 0.97.
So the proportion of bolts that meet the specifications is 97%. .
The height is 4
The length is 5
It's a rectangle so l x w = 4 x 5 = 20 square units