On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 352),...

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 352), ship Lion is at the position (511, 0). Tiger sails along the straight line to the position (724, 0). At the same time, Lion sails along the straight line to the position (0, 565). Lion will reach her destination in one hour, Tiger – in two hours.

Task:

Find the point of intersection of the paths of the ships.
At what time from the moment of departure each of the ships will pass the point of intersection of the paths.
At what time (in minutes after departure) the distance between Lion and Tiger will be the shortest?
What is the shortest distance between Lion and Tiger?
What will be the positions of both ships at the moment when the distance between them is the shortest?

Expert Solution

milcah answered 2 years ago

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 754),...

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 754), ship Lion is at the position (961, 0). Tiger sails along the straight line to the position (1176, 0). At the same time, Lion sails along the straight line to the position (0, 969). Lion will reach her destination in one hour, Tiger – in two hours. Find the point of intersection of the paths of the ships. At what time from the moment...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line,...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line, with s in meters and t in seconds. a. Find the body's displacement and average velocity for the given time interval. b. Find the body's speed and acceleration at the endpoints of the interval. c. When, if ever, during the interval does the body change direction?

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Question

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 352),...

Solutions

Expert Solution

Related Solutions

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 754),...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line,...

6. “Starting from an initial position of equilibrium with X – M =0, an economy experiences...

Question

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 352),...

Solutions

Expert Solution

Related Solutions

On the standard coordinate grid at initial moment, ship Tiger is at the position (0, 754),...

The function s=−t^3+12t^2−48t​ , 0≤t≤5​, gives the position of a body moving on a coordinate​ line,...

6. “Starting from an initial position of equilibrium with X – M =0, an economy experiences...

The function s=−t^3+12t^2−48t , 0≤t≤5, gives the position of a body moving on a coordinate line,...