Answer:
and
Explanation:
The tub rotates at constant speed and the kinematic formula to describe the change in angular displacement (), measured in radians, is:
Where:
- Steady angular speed, measured in radians per second.
- Time, measured in seconds.
If and , then:
The change in angular displacement, measured in revolutions, is given by the following expression:
The answer is C
All other statements are correct but C
The height of the plane delivering a food package to people stranded on an island is 722.2 m.
<h3>
Time of motion of the food package</h3>
The time taken for the food package to hit the ground level is calculated as follows;
X = vt
where;
- X is horizontal distance traveled by the food package
- v is horizontal distance
- t is time of motion
t = X/v
t = 789/65
t = 12.14 seconds
<h3>Height of the plane</h3>
h = ¹/₂gt²
where;
- h is height of fall of the food package which is height of the plane
- t is time of motion of food package
- g is acceleration due to gravity
h = (0.5)(9.8)(12.14²)
h = 722.2 m
Thus, the height of the plane delivering a food package to people stranded on an island is 722.2 m.
Learn more about height here: brainly.com/question/1739912
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Answer:
a)
b)
Explanation:
Given:
mass of ball,
initial speed of the ball,
mass of the person,
a)
Using the conservation of linear momentum:
When the person catches the ball, assuming that the person catches it with an impact without absorbing the shock.
b)
When the ball hits the person and bounces off with the velocity of .
Using the conservation of linear momentum:
where:
final speed of the ball after collision
final speed of the person after collision
initial velocity of the person = 0
putting the respective values in the above eq.
To develop this problem, it is necessary to apply the concepts related to the description of the movement through the kinematic trajectory equations, which include displacement, velocity and acceleration.
The trajectory equation from the motion kinematic equations is given by
Where,
a = acceleration
t = time
= Initial velocity
= initial position
In addition to this we know that speed, speed is the change of position in relation to time. So
x = Displacement
t = time
With the data we have we can find the time as well
With the equation of motion and considering that we have no initial position, that the initial velocity is also zero then and that the acceleration is gravity,
Therefore the vertical distance that the ball drops as it moves from the pitcher to the catcher is 1.46m.