Answer: A, Magnitude of 8 and direction angle equal to 0°
Step-by-step explanation:
Since vector u is only a straight line, there will be no angle, which means that answers B and D are automatically wrong.
Now, we’re going to use the distance formula to find the component form of vector u
Now we found the new coordinate, which is (8,0), and it is being extended from the origin with the same angle of 0°
Using the formula from above, we can find the magnitude of vector u
Hope I explained it well and hopefully this helps!
Answer:
Distance from Fresno where both cars meet = 210 - 150 = 60 miles
Step-by-step explanation:
let x = distance travelled by A from Sacramento
y = distance travelled by B from Los Angeles
t = time after 12 noon that they meet
x = 50(t + 1)
y = 400 - x = 75(t) or x = 400 - 75t
so: 50(t + 1) = 400 - 75t
50t + 50 = 400 - 75t
50t + 75t = 400 - 50
t = 2,8 hrs
so y = 400 - 75(2.8) = 210 miles from Los Angeles
distance from Fresno where both cars meet = 210 - 150 = 60 miles
B(t)=50×e^2.5t
e^2.5t = 20
t= ln(20) / 2.5
set B(t)=1000 and solve for t via 1000=50e2.5t
20=e2.5t
ln(20)=2.5t
t=ln(20) / 2.5