Answer:
Explanation:
The described situation is is related to vertical motion (and free fall). So, we can use the following equation that models what happens with this rock:
(1)
Where:
is the rock's final height
is the rock's initial height
is the rock's initial velocity
is the angle at which the rock was thrown (directly upwards)
is the time
is the acceleration due gravity in Planet X
Then, isolating
and taking into account
:
(2)
(3)
Finally:
(4) This is the acceleration due gravity in Planet X
Answer:
It will take 4 sec rock to comes its original point
Explanation:
It is given that the rock comes to its original point
So displacement S = 0 m
Initial velocity u = 19.6 m/sec
Acceleration due to gravity 
According to second equation of motion 


t = 4 sec
Answer:
The tension in the string is quadrupled i.e. increased by a factor of 4.
Explanation:
The tension in the string is the centripetal force. This force is given by

m is the mass, v is the velocity and r is the radius.
It follows that
, provided m and r are constant.
When v is doubled, the new force,
, is

Hence, the tension in the string is quadrupled.
Answer:
speed of boat as

river speed is given as

Explanation:
When boat is moving down stream then in that case net resultant speed of the boat is given as
since the boat and river is in same direction so we will have

Now when boat moves upstream then in that case the net speed of the boat is opposite to the speed of the river
so here we have

as we know when boat is in downstream then in that case it covers 24 miles in 2 hours

also when it moves in upstream then it covers same distance in 3 hours of time



so we have speed of boat as

river speed is given as

V = AT
v = a/2 T
d = 1/2 a T^2
d = 1/2 a/2 T^2
1/2 at^2 = 1/4 aT^2
2t^2 = T^2
T = (Sqrt2)t
Hope this helps