Answer:
3.196 m/s
Explanation:
Parameters given:
Mass of Brittany and the skateboard, M = 62 kg
Mass of pumpkin, m = 3.7 kg
Initial speed of Brittany and the skateboard, U = 0 m/s
Final velocity of Brittany, the skateboard and the pumpkin, V = v = 0.18 m/s
We can solve this problem by applying the principle of conservation of momentum.
It states that the total final momentum of a system is equal to the total initial momentum of the system.
M*U + m*u = M*V + m*v
Where u is the initial velocity of the pumpkin.
Since the final velocity of Brittany and the skateboard is equal to the final velocity of pumpkin:
M*U + m*u = (M + m) *v
Solving this to get u:
(62 * 0) + (3.7 * u) = (62 + 3.7) * 0.18
0 + 3.7u = 65.7 * 0.18
3.7u = 11.826
u = 11.826 / 3.7
u = 3.196 m/s
The initial velocity of the pumpkin was 3.196 m/s.
Answer:
There are two components for a two-dimensional coordinate system/vector.
Explanation:
For two-dimensional vectors, such as velocity, acceleraton, etc, there are two components, the x- and y-components.
These components could be rotated or translated, depending on the coordinate system.
Instead of rectangular cartesian system, the components could also be in the form of polar coordinates, such as radius and theta (angle).
For three-dimensional vectors, such as velocity in space, there are three components, in various coordinate systems.
Answer:
1)a. It is constant the whole time the ball is in free-fall.
2)b. = 14 m/s
3) e. = 19.6 m/s
Explanation:
1) given that the only force acting on the ball is gravity, gravity acts along the vertical axis. Since no other force acts on the ball then the horizontal velocity will remain constant all through the flight since there is no horizontal force acting on the ball.
2) speed = distance/time
horizontal distance = 56m
Time = 4 seconds
Speed = 56m/4s = 14m/s
3) acceleration due to gravity g = 9.8m/s^2
Initial vertical velocity = u
Final vertical velocity = v = -u
Using the law of motion;
v = u + at
a = acceleration = -g = -9.8m/s^2
t = time of flight = 4
Substituting the values;
-u = u - 4(9.8)
-2u = -4(9.8)
u = -4(9.8)/-2
u = 2(9.8) = 19.6 m/s
Initial vertical velocity = u = 19.6 m/s
Answer:
the elements towards the bottom left corner
