The stake, height and tether length of the tent form a right angle triangle where the tether length is the hypotenuse.
Applying Pythagoras theorem:
length² = height² + (stake distance)²
length = √(8² + 2²)
length = 8.5 feet
If Juan used a Celsius thermometer, it would tell him the Celsius temperature.
If he added 273 to that number, he'd have the "absolute" or Kelvin temperature.
Fperson =[( velocity of wind )+ or - (velocity of person)] / [(velocity of wind) + or - (velocity of sounds)] x frekuency of sounds
Answer:
Part a)
![v_f = 7.99 m/s](https://tex.z-dn.net/?f=v_f%20%3D%207.99%20m%2Fs)
Part b)
![y = 3.25 m](https://tex.z-dn.net/?f=y%20%3D%203.25%20m)
Explanation:
Part a)
Since the diver is moving under gravity
so here its acceleration due to gravity will be uniform throughout the motion
so here we will have
![v_f^2 - v_i^2 = 2 a y](https://tex.z-dn.net/?f=v_f%5E2%20-%20v_i%5E2%20%3D%202%20a%20y)
here we have
![v_i = 2.22 m/s](https://tex.z-dn.net/?f=v_i%20%3D%202.22%20m%2Fs)
![y = -3 m](https://tex.z-dn.net/?f=y%20%3D%20-3%20m)
![v_f^2 - (2.22)^2 = 2(-9.81)(-3)](https://tex.z-dn.net/?f=v_f%5E2%20-%20%282.22%29%5E2%20%3D%202%28-9.81%29%28-3%29)
![v_f = 7.99 m/s](https://tex.z-dn.net/?f=v_f%20%3D%207.99%20m%2Fs)
Part b)
at highest point of his motion the final speed will be zero
so we will have
![v_f^2 - v_i^2 = 2 a (\Delta y)](https://tex.z-dn.net/?f=v_f%5E2%20-%20v_i%5E2%20%3D%202%20a%20%28%5CDelta%20y%29)
![0 - 2.22^2 = 2(-9.81)(y - 3)](https://tex.z-dn.net/?f=0%20-%202.22%5E2%20%3D%202%28-9.81%29%28y%20-%203%29)
![y = 3.25 m](https://tex.z-dn.net/?f=y%20%3D%203.25%20m)
Answer:
I would increase the horizontal velocity or the vertical velocity or both to make the ball go the extra distance to cross the goal line.
Explanation:
In order to increase the horizontal distance covered by the ball, we need to examine the variables involved in the formula of range of projectile. The formula for the range of projectile is given as follows:
R = V₀² Sin 2θ/g
where, g is a constant on earth (acceleration due to gravity) and θ is the angle of ball with ground at the time of launching. The value of θ should be 45° for maximum range. In this case we do not know the angle so, we can not tell if we should change it or not.
The only parameter here which we can increase to increase the range is launch velocity (V₀). The formula for V₀ in terms of horizontal and vertical components is as follows:
V₀ = √(V₀ₓ² + V₀y²)
where,
V₀ₓ = Horizontal Velocity
V₀y = Vertical Velocity
Hence, it is clear from the formula that we can increase both the horizontal and vertical velocity to increase the initial speed which in turn increases the horizontal distance covered by the ball.
<u>Therefore, I would increase the horizontal velocity or the vertical velocity or both to make the ball go the extra distance to cross the goal line.</u>