Answer:
(a) 1, average velocity = -65.6 m/s
2, average velocity = -64.8 m/s
3, average velocity = -64.16 m/s
(b) The instantaneous velocity is -96 m/s
Explanation:
(a)
Average velocity is given by;

(1)

(2)

(3)

b. y = 235 - 16t²
The instantaneous velocity is given by;
v = dy /dt
dy / dt = -32t
when t = 3 s
v = -32(3)
v = -96 m/s
B. 0.5 km to the North. if its going 2 km/h, just take the time (.25 hours) and divide it by the speed, and you've got distance.
Answer:
Resistance, R = 13 ohms
Explanation:
The Ohm's law gives the direct relationship between the voltage, current and the resistance of the device. The relation is as follows :

Where
I is the current
r is the resistance
The value of resistance is given by :

According to given data,
Voltage of the circuit, V = 130 V
Current rating of the circuit, I = 10 A
Resistance of the device,

R = 13 ohms
So, the resistance of the device is 13 ohms. Hence, this is the required solution.
Answer:
magnitude = 3
unit vector = 
Explanation:
Given vectors:
u = 2i + 2j - k
v = -i + k = -i + 0j + k
(a) u x v is the cross product of u and v, and is given by;
u x v = i(2+0) - j(2 - 1) + k(0 - 2)
u x v = 2i - j - 2k
Now the magnitude of u x v is calculated as follows:
| u x v | = 
| u x v | = 
| u x v | = 
| u x v | = 3
Therefore, the magnitude of u x v is 3
(b) The unit vector û parallel to u x v in the direction of u x v is given by the ratio of u x v and the magnitude of u x v. i.e
û =
u x v = 2i - j - 2k [<em>calculated in (a) above</em>]
|u x v| = 3 [<em>calculated in (a) above</em>]
∴ û = 
∴ û = 