if T varries inversly as s . T=2 and s=60, find (a) the relatinship between T and s (b) find the value of T when s=90 (c) find s when T=5/2
(a) The relationship between T and s can be written as T = k/s, where k is a constant.
(b) To find the value of T when s = 90, we can use the relationship T = k/s. Plugging in the given values T = 2 and s = 60, we can solve for k:
2 = k/60
k = 120
Now, we can use k = 120 to find the value of T when s = 90:
T = 120/90
T = 4/3
(c) To find the value of s when T = 5/2, we can use the relationship T = k/s and the value of k = 120 that we found earlier:
5/2 = 120/s
Cross multiply:
5s = 2*120
5s = 240
s = 240/5
s = 48