You visited us 2 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

2nd Equation of Motion

A shell is fi...

Question

A shell is fired vertically upwards with a velocity $v_{1}$ from a trolley moving horizontally with velocity $v_{2}$ . A person on the ground observes the motion of the shell as a parabola, whose horizontal range is

\frac{2 v_{1}^{2} v_{2}}{g}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 v_{1}^{2}}{g}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 v_{2}^{2}}{g}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 v_{1} v_{2}}{g}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $\frac{2 v_{1} v_{2}}{g}$
Vertical velocity of shell $u_{y} = v_{1}$
Horizontal velocity of shell $u_{x} = v_{2}$
Horizontal range of projectile $R = \frac{2 u_{x} u_{y}}{g}$
$⟹ R = \frac{2 v_{1} v_{2}}{g}$

Suggest Corrections

Similar questions

Q. A shell is fired vertically upwards with a velocity

v_{1}

from the deck of a ship travelling at a speed of

v_{2}

. A person on the shore observes the motion of the shell as parabola. Its horizontal range is given by:

A shell is projected from a gun with muzzle velocity $u$ . The gun is fitted with a trolley car at an angle $θ$ as shown in the fig. If the trolley car is made to move with constant velocity $v$ towards right, find the

(i) horizontal range of the shell relative to ground.

(ii) horizontal range of the shell relative to a person travelling with trolley.

Q. A car is moving horizontally with velocity

v

. A shell is fired upward with velocity

u

inclined at angle

θ

with the horizontal. The horizontal range of the shell related to ground is

(i) horizontal range of the shell relative to ground.

(ii) horizontal range of the shell relative to a person travelling with trolley.

Q. A shell is projected. from a gun with a muzzle velocity,

u

. The gun is fitted with a trolley car at an angle

θ

as shown in Figure. If the trolley car is made to move with constant velocity

v

towards right. find the
a. horizontal range of the shell relative to ground.
b. horizontal range of the shell relative to a person travelling with trolley.

Join BYJU'S Learning Program

A shell is fired vertically upwards with a velocity v1 from a trolley moving horizontally with velocity v2. A person on the ground observes the motion of the shell as a parabola, whose horizontal range is

The correct option is D 2v1v2gVertical velocity of shell uy=v1Horizontal velocity of shell ux=v2Horizontal range of projectile R=2uxuyg⟹ R=2v1v2g

A shell is fired vertically upwards with a velocity $v_{1}$ from a trolley moving horizontally with velocity $v_{2}$ . A person on the ground observes the motion of the shell as a parabola, whose horizontal range is

The correct option is D $\frac{2 v_{1} v_{2}}{g}$
Vertical velocity of shell $u_{y} = v_{1}$
Horizontal velocity of shell $u_{x} = v_{2}$
Horizontal range of projectile $R = \frac{2 u_{x} u_{y}}{g}$
$⟹ R = \frac{2 v_{1} v_{2}}{g}$