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 + \(\frac{5}{2t^2}\) - t\(^3\).
Calculate the distance travelled in the third second.
5.5m
14.5m
26.0m
30.0m
Correct answer is A
From S = 12t + \(\frac{5}{2t^2}\) - t\(^3\);
Distance traveled in 2 seconds
S = 12[2] + \(\frac{5}{2[2]^2}\) - 2\(^3\).
= 24 + 10 - 8 = 26m
Distance traveled in 3 seconds
S = 12[3] + \(\frac{5}{2[3]^2}\) - 3\(^3\)
= 36 + 22.5 - 27 = 31.5m
Distance traveled in the 3rd second
= 31.5m - 26m
: S = 5.5m
Find the equation of the line which passes through (-4, 3) and parallel to line y = 2x + 5. ...
If \(x = i - 3j\) and \(y = 6i + j\), calculate the angle between x and y...
In which of the following series can be the formula S = \(\frac{a}{1 - r}\) where a is the firs...
Integrate \((x - \frac{1}{x})^{2}\) with respect to x....
A body of mass 15kg is placed on a smooth plane which is inclined at&n...
Find the radius of the circle \(2x^2 + 2y^2 - 4x + 5y + 1 = 0\)...