I have been trying to figure it out, I can't understand which formulas go into these problems. I've been trying for a few hours to solve all of these, but yet I cannot understand it. Please help me with these questions. Thank you so much.
1. A rancher has the problem of air lifting food to his heard stranded in a snowstorm. But he cannot drop hay from his plane went directly over the animals because he would always miss. Why?
If he is flying 50 m/s at a height of 125 m above the ground, how far ahead of the drop point must he release the feed in order for it to get to his animals?
2. A slingshot fires a stone horizontally with the velocity of 50 m/s. What will be the range of the slingshot when fired from a height of 20 m?
3. A golfer strikes the ball so the vertical component of its velocity is 20 m/s and the horizontal component is 30 m/s. How far will the ball traveled before it hits the ground what is the balls range? Remember your trick is to find total time in the air, for rise and for fall.
I need understanding of these problems. I am still trying. Thanks so much.
1. A rancher has the problem of air lifting food to his heard stranded in a snowstorm. But he cannot drop hay from his plane went directly over the animals because he would always miss. Why?
If he is flying 50 m/s at a height of 125 m above the ground, how far ahead of the drop point must he release the feed in order for it to get to his animals?
2. A slingshot fires a stone horizontally with the velocity of 50 m/s. What will be the range of the slingshot when fired from a height of 20 m?
3. A golfer strikes the ball so the vertical component of its velocity is 20 m/s and the horizontal component is 30 m/s. How far will the ball traveled before it hits the ground what is the balls range? Remember your trick is to find total time in the air, for rise and for fall.
I need understanding of these problems. I am still trying. Thanks so much.
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If he is flying 50 m/s at a height of 125 m above the ground, how far ahead of the drop point must he release the feed in order for it to get to his animals?
As the hay moves 50 m/s horizontally, its vertical velocity increases from 0 m/s at the rate of 9.8 m/s^2.
Vertical distance = vi * t + ½ * g * t^2
125 = ½ * 9.8 * t^2
Time = √(125 ÷ 4.9)
Horizontal distance = 50 * √(125 ÷ 4.9)
For the hay to get to his animals, the hay must be released approximately 252 meters ahead of the drop point.
2. A slingshot fires a stone horizontally with the velocity of 50 m/s. What will be the range of the slingshot when fired from a height of 20 m?
This is the same as the problem above.
As the stone moves 50 m/s horizontally, its vertical velocity increases from 0 m/s at the rate of 9.8 m/s^2 as it falls 20 meters.
As the hay moves 50 m/s horizontally, its vertical velocity increases from 0 m/s at the rate of 9.8 m/s^2.
Vertical distance = vi * t + ½ * g * t^2
125 = ½ * 9.8 * t^2
Time = √(125 ÷ 4.9)
Horizontal distance = 50 * √(125 ÷ 4.9)
For the hay to get to his animals, the hay must be released approximately 252 meters ahead of the drop point.
2. A slingshot fires a stone horizontally with the velocity of 50 m/s. What will be the range of the slingshot when fired from a height of 20 m?
This is the same as the problem above.
As the stone moves 50 m/s horizontally, its vertical velocity increases from 0 m/s at the rate of 9.8 m/s^2 as it falls 20 meters.
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