The chart below (attached to this submission) represents the kinematics of a freely falling body. Use the table to answer a-e. a) Is the relationship between time and distance an arithmetic sequence? Explain. b)The total distance a freely falling body covers in time, t, is given by the equation d(t)=1/2 gt^2 , where g is constant at 10 m/s^2. Show, in terms of n, the distance a falling body covers in t = n seconds of movement. c)Show, in terms of n, the distance a falling body covers in t = n - 1 seconds of movement.
The chart below (attached to this submission) represents the
a) Is the relationship between time and distance an arithmetic sequence?
Explain.
b)The total distance a freely falling body covers in time, t, is given by the
equation d(t)=1/2 gt^2 , where g is constant at 10 m/s^2. Show, in terms of n, the distance a falling body covers in t = n seconds of movement.
c)Show, in terms of n, the distance a falling body covers in t = n - 1 seconds of movement.
d) The distance a freely falling body covers in the nth second is given by
s(n)=d(n)-d(n-1). Show s(n) in terms of g, in simplified form.
e). Prove that the quantities s(n) form an arithmetic sequence.
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