Question 137: Motion in 2D & Vectors

Question

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the
fountain is v, the total area around the fountain that gets wet is :

Accepted Answer

Maximum range of water coming out of fountain,
$${R_{\max }} = {{{v^2}\sin 2	heta } \over g} = {{{v^2}\sin {{90}^ \circ }} \over g} = {{{v^2}} \over g}$$
Total area around fountain,
$$A = \pi R_{\max }^2\,\, = \,\,\pi {{{v^4}} \over {{g^2}}}$$

Answer

$$\pi {{{v^4}} \over {{g^2}}}$$

Answer

$${\pi  \over 2}{{{v^4}} \over {{g^2}}}$$

Answer

$$\pi {{{v^2}} \over {{g^2}}}$$

Answer

$$\pi {{{v^2}} \over g}$$

Motion in 2D & Vectors

A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v, the total area around the fountain that gets wet is :

Choose the correct answer: