A stone is thrown vertically upward and distance, S metre...
A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t + 52t2 - t3.
Calculate the distance travelled in the third second.
5.5m
14.5m
26.0m
30.0m
Correct answer is A
From S = 12t + 52t2 - t3;
Distance traveled in 2 seconds
S = 12[2] + 52[2]2 - 23.
= 24 + 10 - 8 = 26m
Distance traveled in 3 seconds
S = 12[3] + 52[3]2 - 33
= 36 + 22.5 - 27 = 31.5m
Distance traveled in the 3rd second
= 31.5m - 26m
: S = 5.5m
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