Two balls are projected from same point simultaneously.First ball is projected vertically upwards an

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3-2.Motion in Plane

medium

Two balls are projected from the same point simultaneously.First ball is projected vertically upwards and the second ball at an angle of projection $60^o$ to the ground level. Both the balls reach the ground simultaneously. The ratio of their velocities are

$1:2$

$3:2$

$\sqrt 3: 2$

$2:3$

Solution

time of flight $\mathrm{T}_{1}=\frac{2 \mathrm{u}_{1}}{\mathrm{g}}, \quad \mathrm{T}_{2}=\frac{2 \mathrm{u}_{2} \sin 60^{\circ}}{\mathrm{g}}$

Time of flights are equal, so $\mathrm{T}_{2}=\mathrm{T}_{1}$ $\frac{2 u \sqrt{3}}{2 g}=\frac{2 u_{1}}{g}=u_{2} \sqrt{3}=2 u_{1} \Rightarrow \frac{u_{1}}{u_{2}}=\frac{\sqrt{3}}{2}$

Standard 11

Physics

A projectile fired at $30^{\circ}$ to the ground is observed to be at same height at time $3 s$ and $5 s$ after projection, during its flight. The speed of projection of the projectile is $………\,ms ^{-1}$(Given $g=10\,m s ^{-2}$ )

hard

(JEE MAIN-2023)

A ball is thrown from a point on ground at some angle of projection. At the same time a bird starts from a point directly above this point of projection at a height $h$ horizontally with speed $u$. Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes

hard

What is range of the projectile particle ? Give velocity of projectile particle at maximum height.

medium

Choose the correct alternative $(s)$

hard

Two bodies are projected from ground with same speeds $40 ms ^{-1}$ at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of $60^{\circ}$, with horizontal then sum of the maximum heights, attained by the two projectiles, is $…….m$. (Given $g =10 ms ^{-2}$ )

medium

(JEE MAIN-2023)

Two balls are projected from the same point simultaneously.First ball is projected vertically upwards and the second ball at an angle of projection $60^o$ to the ground level. Both the balls reach the ground simultaneously. The ratio of their velocities are

Solution

Similar Questions

A projectile fired at $30^{\circ}$ to the ground is observed to be at same height at time $3 s$ and $5 s$ after projection, during its flight. The speed of projection of the projectile is $………\,ms ^{-1}$(Given $g=10\,m s ^{-2}$ )

What is range of the projectile particle ? Give velocity of projectile particle at maximum height.

Choose the correct alternative $(s)$

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