Answer:
The time is 5.10 sec.
Explanation:
Given that,
Component of velocity are 30 m/s and 40 m/s.
We need to calculate the resultant velocity
Using formula of resultant velocity
Put the value into the formula
[
We need to calculate the time
Using equation of motion
Put the value into the formula
Hence, The time is 5.10 sec.
Given :
Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south.
To Find :
The magnitude and direction of
a) A + B .
b) A - B.
Solution :
Let , direction in north is given by +j and east is given by +i .
So , and
Now , A + B is given by :
Direction of A+B is 45° north of west .
Also , for A-B :
Direction of A-B is 45° south of west .
( When two vector of same magnitude which are perpendicular to each other are added or subtracted the resultant is always 45° from each of them)
Hence , this is the required solution .