Answer:
Explanation:
Given
Initial velocity of first billiard ball
Initial velocity of second billiard ball
After collision first ball comes to rest
suppose m is the mass of both the balls
Conserving momentum to get the speed of second ball after collision
Initial momentum
Final momentum
where and
are the speed of first and second ball respectively
thus speed of second ball after collision is equal to speed of first ball before collision
According to <u>kinematics</u> this situation is described as a uniformly accelerated rectilinear motion. This means the acceleration while the car is in motion is constant.
Now, among the equations related to this type of motion we have the following that relates the velocity with the acceleration and the distance traveled:
(1)
Where:
is the Final Velocity of the car. We are told "the car comes to a stop after travelling", this means it is 0.
is the Initial Velocity, the value we want to find
is the constant acceleration of the car (the negative sign means the car is decelerating)
is the distance traveled by the car
Now, let's substitute the known values in equation (1) and find :
(2)
(3)
Multiplying by -1 on both sides of the equation:
(4)
(5)
Finally:
>>>This is the Initial velocity of the car
Explanation:
Given:
t = 20 seconds
x = 3000 m
y = 450 m
a) To find the vertical component of the initial velocity , we can use the equation
Solving for ,
b) We can solve for the horizontal component of the velocity as
or