Answer:
a) x = v₀² sin 2θ / g
b) t_total = 2 v₀ sin θ / g
c) x = 16.7 m
Explanation:
This is a projectile launching exercise, let's use trigonometry to find the components of the initial velocity
sin θ = 
/ vo
cos θ = v₀ₓ / vo
v_{oy} = v_{o} sin θ
v₀ₓ = v₀ cos θ
v_{oy} = 13.5 sin 32 = 7.15 m / s
v₀ₓ = 13.5 cos 32 = 11.45 m / s
a) In the x axis there is no acceleration so the velocity is constant
v₀ₓ = x / t
x = v₀ₓ t
the time the ball is in the air is twice the time to reach the maximum height, where the vertical speed is zero
v_{y} = v_{oy} - gt
0 = v₀ sin θ - gt
t = v_{o} sin θ / g
we substitute
x = v₀ cos θ (2 v_{o} sin θ / g)
x = v₀² /g 2 cos θ sin θ
x = v₀² sin 2θ / g
at the point where the receiver receives the ball is at the same height, so this coincides with the range of the projectile launch,
b) The acceleration to which the ball is subjected is equal in the rise and fall, therefore it takes the same time for both parties, let's find the rise time
at the highest point the vertical speed is zero
v_{y} = v_{oy} - gt
v_{y} = 0
t = v_{oy} / g
t = v₀ sin θ / g
as the time to get on and off is the same the total time or flight time is
t_total = 2 t
t_total = 2 v₀ sin θ / g
c) we calculate
x = 13.5 2 sin (2 32) / 9.8
x = 16.7 m
Answer: the particles are more orderly in region 1
Explanation: region 1 is when the substance is a solid and as it is heated the particles move further apart and have more kinetic energy.
Explanation:
Yes, in order to determine whether two geometric figures are identical or not we tend to rotate one of the figure clockwise or anti clock wise mentally. However, in clockwise rotation larger the angel more will be the time taken for instance, it will take longer to rotate 120° than to rotate 40°. Whereas in anti clockwise ration it will be vice versa.
Yolanda might put more items to the desk to make it heavier, requiring more force.
We need to learn more about the force acting on an object in order to locate the solution.
<h3>How can the force that is required to modify the motion be increased?</h3>
- We are aware that the word for force is,
F=ma
where m denotes the object's mass and an its acceleration
- There are two ways to increase the force required to alter the motion of the table.
- One is to increase the mass, and the other is to accelerate it more quickly.
- Otherwise, there will be a lot of friction between the surfaces, making it difficult to move without exerting a lot of force.
We can infer from this that Yolanda could add items to the desk to increase its mass, necessitating the use of additional force.
Learn more about the force here:
brainly.com/question/4075805
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