SOLUTION: How would you solve this problem and show work i'm trying to understand the concept, i have a test coming up soon. Thank You!
Three novice sailors were attempting to sail to C
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-> SOLUTION: How would you solve this problem and show work i'm trying to understand the concept, i have a test coming up soon. Thank You!
Three novice sailors were attempting to sail to C
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Question 1119894: How would you solve this problem and show work i'm trying to understand the concept, i have a test coming up soon. Thank You!
Three novice sailors were attempting to sail to Cancun mexico from fl during the Christmas break when a storm overtook them. the most composed of the sailors fired a shot with the flare gun straight up into the air hoping against hope that someone would see the distress signal. The height H of the flare, in meters above the "ground", t seconds after firing, can be modeled by the function: H(t)=-4.9t^2+166t+2.2
1. Evaluate H(3) and explain what it means in the context of the situation
2. Based on the height of the model, is it likely the sailor was sitting or standing in the raft when he fired the flare gun? How do you know?
3. Give the height from which the flare was fired in meters and also in inches.
4. Determine the maximum height reached by the flare,
5. How long did it take for the flare to reach its maximum height?
6. How long was the flare in the air?
7. A second boat was several miles away from the lost sailors, and, if the occupants of the second boat happened to be looking at the right moment in the right direction, the flare would be visible as long as it was at least 400 meters in the air. Determine how long the flare would have been visible to the occupants of the second boat.
1. Write out the function, replacing t with 3. Do the arithmetic. You get the height of the flare 3 seconds after the gun was fired.
2. The general formula is:
Where is the acceleration due to gravity near the surface of planet Earth, is the initial velocity of the projectile, and is the initial height of the projectile at the instant it was launched.
Since you are using , the distance measurements must be in meters and the time in seconds.
So the gun was 2.2 meters above the surface of the water when it was fired. You have no idea whether the sailor who fired the flare gun was sitting, standing or lying down because you give no indication of the freeboard of the boat, or where his feet were in relation to the waterline of the boat. Assuming his feet were at or near the waterline, he was probably standing.
3. Same question. You can convert meters to inches as well as I can.3
4. The maximum height reached by any projectile occurs at time . The actual maximum height is the value of the function at that time value.
5. This was answered as part of the calculation of part 4.
6. Set the function equal to zero and solve for the positive root.
7. Set the function equal to 400 and solve for the two roots. The first will be the time when the flare becomes visible to the other boat and the second root will be the time that it is no longer visible to the other boat.
John
My calculator said it, I believe it, that settles it
