012 Resultant of two velocity vectors
Problem 012
Find the resultant vector of vectors A and B shown in Fig. P-012.
- Read more about 012 Resultant of two velocity vectors
- Log in or register to post comments
Velocity
37-38 How fast a ship leaving from its starting point
Problem 37
A ship sails east 20 miles and then turns N 30° W. If the ship's speed is 10 mi/hr, find how fast it will be leaving the starting point 6 hr after the start.
33-34 Time Rates: A car traveling east and airplane traveling north
Problem 33
From a car traveling east at 40 miles per hour, an airplane traveling horizontally north at 100 miles per hour is visible 1 mile east, 2 miles south, and 2 miles up. Find when this two will be nearest together.
30 - Two trains in perpendicular railroad tracks
Problem 30
Two railroad tracks intersect at right angles, at noon there is a train on each track approaching the crossing at 40 mi/hr, one being 100 mi, the other 200 mi distant. Find (a) when they will be nearest together, and (b) what will be their minimum distance apart.
- Read more about 30 - Two trains in perpendicular railroad tracks
- Log in or register to post comments
22-24 One car from a city starts north, another car from nearby city starts east
Problem 22
One city C, is 30 miles north and 35 miles east from another city, D. At noon, a car starts north from C at 40 miles per hour, at 12:10 PM, another car starts east from D at 60 miles per hour. Find when the cars will be nearest together.
19-21 Two cars driving in parallel roads
Problem 19
One city A, is 30 mi north and 55 mi east of another city, B. At noon, a car starts west from A at 40 mi/hr, at 12:10 PM, another car starts east from B at 60 mi/hr. Find, in two ways, when the cars will be nearest together.
- Read more about 19-21 Two cars driving in parallel roads
- Log in or register to post comments
11-12 Two trains; one going to east, and the other is heading north
Problem 11
A train starting at noon, travels north at 40 miles per hour. Another train starting from the same point at 2 PM travels east at 50 miles per hour. Find, to the nearest mile per hour, how fast the two trains are separating at 3 PM.
Time Rates | Applications
Time Rates
If a quantity x is a function of time t, the time rate of change of x is given by dx/dt.
When two or more quantities, all functions of t, are related by an equation, the relation between their rates of change may be obtained by differentiating both sides of the equation with respect to t.
- Read more about Time Rates | Applications
- Log in or register to post comments