27. a body at rest is thrown downward from the top of tower. Draw a distance-time graph of its free fall under
gravity during first 3 seconds. Show your table of values starting t=0 with an interval of 1 second. (g= 10 m per second)
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The body is dropped from rest so, u=0
When the body dropped its speed increases and hence its displacement also increases.
From the equation of motion
S= ut + ½ at2
u=0 ,a=10 m/s2
Time (t in seconds) Displacement (s in metres)
t= 0 s= 0+1/2 X 10 X 0 = 0
t= 1 s= 0+1/2 X 10 X 1 2 = 5
t= 2 s= 0+1/2 X 10 X 2 2 = 20
t= 3 s= 0+1/2 X 10 X 3 2 = 45
The graph will be a curve starting from origin as displacement is directly proportional to square of time
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