Given , T= s
amplitude, x= 0.5 m
mass , m = 10g=0.01kg ,as we know that:
The maximum force is obtained at the maximum displacement i.e . amplitude
The negative value of force shows the attractive nature.
The acceleration due to gravity due to a body at point P on the surface of earth is
-(1)
Let the body is placed to point Q at a height h abovr the surface of earth, then acceleration due to gravity:
-(ii)
Dividing (i) & (ii), we get
By simplifying and expanding through binomial theorem, we get
From above expression we can clearly say that with increase in altitiude h , the value of acceleration due to gravity decreases.
the slope of the x-t grpah will give you velocity. So, if u=0, the slope of graph at t=0 is 0.
for u>0 case, the initial slope is +ve and for negative u, the initial slope is negative now, s = ut + 0.5at2, where acceleration=a let initial position is xo,
x=xxo+ut+0.5at2 ,
Hence you will get parabolic shapes.