Question 209: Motion in 2D & Vectors

Question

Two projectiles of same mass and with same velocity are thrown at an angle 60
o
and 30
o
with the horizontal, then which will remain same

Accepted Answer

Given, u
1
= u
2
= u, $$	heta _1$$ = 60ÃÂº, $$	heta _2$$ = 30ÃÂº
In 1
st
case, we know that range
$${R_1} = {{{u^2}\sin 2\left( {60^\circ } ight)} \over g} = {{{u^2}\sin 120^\circ } \over g}$$
$$ = {{{u^2}\sin \left( {90^\circ  + 30^\circ } ight)} \over g}$$
$$ = {{{u^2}\left( {\cos 30^\circ } ight)} \over g} = {{ {u^2}\sqrt 3} \over {2g}}$$
In 2
nd
case, when $$	heta _2$$ = 30ÃÂ° , then
$${R_2} = {{{u^2}\sin 60^\circ } \over g} = {{{u^2}\sqrt 3 } \over {2g}}$$
$$ \Rightarrow {R_1} = {R_2}$$

Answer

time of flight

Answer

range of projectile

Answer

maximum height acquired

Answer

all of them.

Motion in 2D & Vectors

Two projectiles of same mass and with same velocity are thrown at an angle 60 o and 30 o with the horizontal, then which will remain same

Choose the correct answer: