1)the points A, O and B lie on a straight horizontal track. A is 20m from O and B is on the other side of O at a distance of xm from O.
A-------------------O-----------------------B
20m xm
at time t=0 a particle P atarts from rest at O and moves towards B with uniform acceleration of 3m/s2. At the same instant, another particle Q, which is at the point A, is moving with a velocity 3m/s in the direction of O with uniform acceleration of 4m/s2 in the same direction.
Given that Q collides with P at B, find the value of x.
2)whilst looking over the edge of a vertical cliff, 122.5 metres in height, Jim dislodges a stone.
the stone falls freely from rest towards the sea below.
Ignoring the effect of air resistance,
a) calculate the time it would take for the stone to reache the sea
b) find the spreed with which the stone would hit the water.
Tow seconds after the stone begins to fall, Jim throws a tennis ball downwards at the stone. the tennis ball's initial speed is um/s. and it hits the stone before they both reach the water.
c) find the minimum value of u.
d) if u had taken air resistance into account in your calculations, what effect would this have had on your answer to part c) explain your ans.
plz solve and explain part c and d.
3 see img attached for diagram
Fig shows 2 particles P and Q, of mass 3kg and 2kg respectively, attached to the ends of a light inextensible string which passes over a smooth, fixd pulley. The system is released from rest with Pand Q at the same level 1.5m above the ground and 2 meters below the pulley
a) show that the inital acceleration of the system is g/5 m/s2
b) find the tension in the string
c) find the speed with which p hits the ground.
when p hits the ground it does not rebound
d) what is the closest that q gets to the pulley?
Plz explain how to do part D)