The ratio of maximum range to maximum height of a project...
The ratio of maximum range to maximum height of a projectile is 4. Determine the angle of projection.
\(30^0\)
\(60^0\)
\(45^0\)
\(0^0\)
Correct answer is C
Maximum Range R = \(\frac{u^2sin2\theta}{g}\)
maximum height H = \(\frac{u^2sin^2\theta}{2g}\)
But R : H = 4
\(\frac{u^2sin2\theta}{g}\) : \(\frac{u^2sin^2\theta}{2g}\) = 4
\(\frac{u^2sin2\theta}{g} \times\frac{2g}{u^2sin^2\theta}\) = 4
\(\frac{2sin2\theta}{sin^2\theta}\) = 4
since 2sinΘ = 2sinΘcosΘ
\(\frac{2 \times 2sin\theta cos\theta}{sin^2\theta}\) = 4
\(\frac{4sin\theta cos\theta}{sin^2\theta}\) = 4
\(\frac{sin\theta cos\theta}{sin^2\theta}\) = 1
\(\frac{cos\theta}{sin\theta}\) = 1
\(\frac{sin\theta}{cos\theta}\) = 1
\(tan \theta\) = 1
\(\theta = tan^{-1}1\) = 45°
From the diagram above, calculate the total current in the circuit ...
Which of the following liquids has the highest surface tension? ...
An example of a scalar quantity is ...
Which of the following operations does not represent an action of a force field? ...
The function of the magnanese (IV) oxide in a leclanche cell is to ...
A calibrated potentiometer is used to measure the e.m.f. of a cell because the ...
The diameter of a brass ring at 30 °C is 50.0 cm. To what temperature must this ring be heated t...