PLS help 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 gt2, where g is constant at 10 m/s2. 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.