Answer:
Explanation:
From the question we are told that
Initial velocity of 60 m/s
Wind speed
Generally Resolving vector mathematically
Generally the equation Pythagoras theorem is given mathematically by
Therefore Resultant velocity (m/s)
b)Resultant direction
Generally the equation for solving Resultant direction
Therefore
Answer:
The chance in distance is 25 knots
Explanation:
The distance between the two particles is given by:
(1)
Since A is traveling north and B is traveling east we can say that their displacement vector are perpendicular and therefore (1) transformed as:
(2)
Taking the differential with respect to time:
(3)
where and
are the respective given velocities of the boats. To find
and
we make use of the given position for A,
, the Pythagoras theorem and the relation between distance and velocity for a movement with constant velocity.
with this time, we know can now calculate the distance at which B is:
and applying Pythagoras:
Now substituting all the values in (3) and solving for we get:
Answer:
12.5 m/s
Explanation:
The motion of the hammer is a free fall motion, so a uniformly accelerated motion, therefore we can use the following suvat equation:
Where, taking downward as positive direction, we have:
s = 8 m is the displacement of the hammer
u = 0 is the initial velocity (it is dropped from rest)
v is the final velocity
is the acceleration of gravity
Solving the equation for v, we find the final velocity:
So, the final speed is 12.5 m/s.