Given the velocity function v of an object moving along a line, explain how definite integrals can be used to find the displace
1 answer:
Answer:
Expression of displacement will be
Explanation:
Let the velocity is function of time means when time changes then velocity also changes
We have to find the expression of definite integral to find the displacement
Displacement is ti,e integral of velocity in given period of time
Let the object starts moving at time and move to the time
Then displacement is give by
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Answer:
d = 3.5*10^4 m
Explanation:
In order to calculate the displacement of the airplane you need only the information about the initial position and final position of the airplane. THe initial position is at the origin (0,0,0) and the final position is given by the following vector:
The displacement of the airplane is obtained by using the general form of the Pythagoras theorem:
(1)
where x any are the coordinates of the final position of the airplane and xo and yo the coordinates of the initial position. You replace the values of all variables in the equation (1):
hence, the displacement of the airplane is 3.45*10^4 m