The distance is 9.0 meters because that's how far the person ran. The displacement is 2.4 meters North because displacement is a speed AND direction. Basically you're calculating how far you are from where you started.
Answer:
Vy = 80.5 [m/s]
Explanation:
In order to solve this problem we must use the Pythagorean theorem.
V = 90 [m/s]
The components are Vx and Vy:
Therefore:
where:
Vy = 2*Vx ; because one is twice of the other.
![90 = \sqrt{v_{x}^{2} +(2*v_{x})^{2} }\\ 90 =\sqrt{v_{x}^{2}+4*v_{x}^{2}} \\90 =\sqrt{5v_{x}^{2}} \\90=2.23*v_{x} \\v_{x}=40.25[m/s]](https://tex.z-dn.net/?f=90%20%3D%20%5Csqrt%7Bv_%7Bx%7D%5E%7B2%7D%20%20%2B%282%2Av_%7Bx%7D%29%5E%7B2%7D%20%7D%5C%5C%2090%20%3D%5Csqrt%7Bv_%7Bx%7D%5E%7B2%7D%2B4%2Av_%7Bx%7D%5E%7B2%7D%7D%20%5C%5C90%20%3D%5Csqrt%7B5v_%7Bx%7D%5E%7B2%7D%7D%20%5C%5C90%3D2.23%2Av_%7Bx%7D%20%5C%5Cv_%7Bx%7D%3D40.25%5Bm%2Fs%5D)
and the bigger vector is:
Vy = 40.25*2
Vy = 80.5 [m/s]
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>
Answer:
4.1 km/m
Explanation:
The average speed=Total distance/total time
so
Total distance=25+40=65
Total time=4+12=16
so
the average speed is 65/76=4.1 km/m
An object or living organism that is stationary(not moving) for example the car is stopped at the top of the hill
