Answer:
-7 m
Explanation:
Displacement is a vector connecting the initial position of motion of an object to its final position.
For the car in this problem, we have:
- Initial position: + 11 m
- Final position: + 4 m
Therefore, the vector displacement will be:
d = +4 - (+11) = -7 m
Which means:
- Magnitude of 7 m
- Negative direction
Answer:


178.888896 m
12790.56 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration

The acceleration is 

The acceleration is 

Distance traveled in the first 8 seconds is 178.888896 m

Distance traveled during 8-60 second interval is 12790.56 m
Answer:
Si logra alcanzar el bus.
Explanation:
Para poder solucionar este problema debemos de tener en cuenta que Alicia corre a velocidad constante para poder alcanzar el bus. La formula de la cinematica que tiene en cuenta la velocidad constante es la siguiente:

donde:
Xf = Ubicacion del punto donde se encuentra el bus [m]
Xo = Ubicacion desde donde esta Alicia [m]
v = velocidad constante = 5 [m/s]
t = tiempo [s]
Xf - Xo = 15 [m]
15 = 5*t
t = 3 [s]
Ahora con el tiempo podemos encontrar la velocidad del bus por medio de la siguiente ecuacion de cinematica para la aceleracion constante:

donde:
Vf = velocidad del bus despues de los 3 [s]
Vi = velocidad inicial = 0
a = aceleracion = 0.5 [m/s^2]
Vf = 0 + (0.5*3)
Vf = 1.5 [m/s]
La velocidad del bus es menor que la velocidad de Alicia, por ende Alicia alcanzara el bus.
Answer:
Change in momentum, 
Explanation:
It is given that,
Mass of the basketball, m = 601 g = 0.601 kg
The basketball makes an angle of 29 degrees to the vertical, it hits the floor with a speed, v = 6 m/s
It bounces up with the same speed, again moving to the right at an angle of 29 degree to the vertical. We need to find the change in momentum. It is given by :




So, the change in momentum of the basketball is 6.3 kg-m/s. Hence, this is the required solution.
Answer:
20 [N], in the opposite direction of the first force.
Explanation:
We know that newton's second law stipulates that the sum of forces on a body must be equal to the product of mass by acceleration.
![SumF = m*a\\30 + F = 2*5\\F = 30 - (2*5)\\F = - 20 [N]](https://tex.z-dn.net/?f=SumF%20%3D%20m%2Aa%5C%5C30%20%2B%20F%20%3D%202%2A5%5C%5CF%20%3D%2030%20-%20%282%2A5%29%5C%5CF%20%3D%20-%2020%20%5BN%5D)
The negative sign means that the other force acting on the body must be in the opposite direction to the force of 30 [N]