I'd say B since headland since whenever there's a crash wave, headland receives most of the impact
Answer:
Llegara a su destino a la 1:00 pm
Explanation:
Si el coche va a 90 km/h buscamos un numero q al multiplicarlo por 90 nos de 450. Entonces 90×5 = 450, si hacemos la cuenta desde las ocho de la mañana mas las 5 horas del viaje terminaria llegando a su destino a la 1:00 pm.
Answer:
a) V_f = 25.514 m/s
b) Q =53.46 degrees CCW from + x-axis
Explanation:
Given:
- Initial speed V_i = 20.5 j m/s
- Acceleration a = 0.31 i m/s^2
- Time duration for acceleration t = 49.0 s
Find:
(a) What is the magnitude of the satellite's velocity when the thruster turns off?
(b) What is the direction of the satellite's velocity when the thruster turns off? Give your answer as an angle measured counterclockwise from the +x-axis.
Solution:
- We can apply the kinematic equation of motion for our problem assuming a constant acceleration as given:
V_f = V_i + a*t
V_f = 20.5 j + 0.31 i *49
V_f = 20.5 j + 15.19 i
- The magnitude of the velocity vector is given by:
V_f = sqrt ( 20.5^2 + 15.19^2)
V_f = sqrt(650.9861)
V_f = 25.514 m/s
- The direction of the velocity vector can be computed by using x and y components of velocity found above:
tan(Q) = (V_y / V_x)
Q = arctan (20.5 / 15.19)
Q =53.46 degrees
- The velocity vector is at angle @ 53.46 degrees CCW from the positive x-axis.
Answer:
Displacement: 2.230 km Average velocity: 1.274![\frac{km}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bkm%7D%7Bh%7D)
Explanation:
Let's represent displacement by the letter S and the displacement in direction 49.7° as A. Displaement is a vector, so we need to decompose all the bird's displacement into their X-Y compoments. Let's go one by one:
- 0.916 km due east is an horizontal direction and cane be seen as direction towards the negative side of X-axis.
- 0.928 km due south is a vertical direction and can be seen as a direction towards the negative side of Y-axis.
- 3.52 km in a direction of 49.7° has components on X and Y axes. It is necessary to break it down using trigonometry,
First of all. We need to sum all the X components and all the Y componets.
∑
⇒ ∑![Sx = [tex]3.52cos(49.7) - 0.916](https://tex.z-dn.net/?f=Sx%20%3D%20%5Btex%5D3.52cos%2849.7%29%20-%200.916)
∑![Sx = 1.361 km](https://tex.z-dn.net/?f=Sx%20%3D%201.361%20km)
∑
⇒ ∑![Sy = 3.52sin(49.7) - 0.918](https://tex.z-dn.net/?f=Sy%20%3D%203.52sin%2849.7%29%20-%200.918)
∑![Sy = 1.767](https://tex.z-dn.net/?f=Sy%20%3D%201.767)
The total displacement is calculated using Pythagoeran therorem:
⇒
![S_{total} = 2.230 km](https://tex.z-dn.net/?f=S_%7Btotal%7D%20%3D%202.230%20km)
With displacement calculated, we can find the average speed as follows:
⇒ ![V = \frac{2.230}{1.750}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B2.230%7D%7B1.750%7D)
![V = 1.274\frac{km}{h}](https://tex.z-dn.net/?f=V%20%3D%201.274%5Cfrac%7Bkm%7D%7Bh%7D)
The best choice would be letter C hope this helps