Respuesta :
Velocity is a vector quantity that is specified by both magnitude and direction, such that the relative position of two object moving with known velocities can be determined after a specified
The speed of the SeabournOdyssey is 26 mph
The speed of the Norwegian Bliss is 24 mph
The reason the above values are correct are as follows:
The given parameters are;
The harbor from which the two ships depart = The same harbor
The time Seabourn Odyssey departs = 8 AM
The direction Seabourn Odyssey travels = South
The speed = 2 mph faster than the Norwegian Bliss
The parameters for the second ship, Norwegian Bliss are as follows;
The time of departure = 1 hour later than Seabourn Odyssey
The direction = North wards
The distance between the two ships at 12 noon = 176 miles
Required:
The speed with which each has been travelling
Solution:
Let x represent the speed of the Seabourn Odyssey, and ley y represent the speed of the Norwegian Bliss, we have;
At 12:00 noon, time of travel of the Seabourn Odyssey = (12:00 - 0800) Hours, t₁ = 4 hours
The time of travel of the Norwegian Bliss at 12:00 noon, t₂ = t₁ - 1
t₂ = 4 hours - 1 hour = 3 hours
The distance between the ships, d moving in opposite directions (north and south) is given as follows;
d = x × t₁ + y × t₂
x = y + 2
When d = 176 miles, t₁ = 4, and t₂ = 3, we have;
176 = (y + 2) × 4 + y × 3 = 4·y + 8 + 3·y = 7·y + 8
y = (176 - 8)/7 = 24
The speed of the Norwegian Bliss, y = 24 mph
x = y + 2
x = 24 + 2 = 26
The speed of the Seabourn Odyssey, x = 26 mph
Learn more about velocity here:
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