A bird is flying in a straight line with velocity vector 10î + 6ĵ + k̂, measured in km/hr. If starting point is (1, 2, 3), how much time does it to take to reach a point in space that is 13 meter high from the ground?
Explanation
Concept
Velocity vector xi^+yj^+zk^ mean the velocity in x direction is x km/hr, velocity in y direction is y km/hr, and velocity in z direction is z km/hr.
Calculation:
The velocity vector of the bird is given as 10i^+6j^+k^ in km/hr.
The velocity of the bird in z direction is 1 km/hr or 3610m/s
The initial position of the bird is (1, 2, 3) and the final height of the bird is 13 m.
So, total height covered by bird is 13m - 3m = 10m
Time required to reach that height is calculated as follows:
time = distance/speed
time = (10/36)m/s10m
= 36s
