Two particles are projected simultaneously in | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Let $\vec{u}_{1}$ and $\vec{u}_{2}$ be the initial velocities of the two particles and $	heta_{1}$ and $	heta_{2}$ be their angles of projection wit

Vedclass · Accepted Answer

a straight line making a constant angle with the horizontal

Vedclass · Answer

Let $\vec{u}_{1}$ and $\vec{u}_{2}$ be the initial velocities of the two particles and $	heta_{1}$ and $	heta_{2}$ be their angles of projection with the horizontal.

The velocities of the two particles after time $t$ are,

$\vec{v}_{1}=\left(u_{1} \cos 	heta_{1}ight) \hat{i}+\left(u_{1} \sin 	heta_{1}-\mathrm{gt}ight) \hat{j}$

$\vec{v}_{2}=\left(u_{2} \cos 	heta_{2}ight) \hat{i}+\left(u_{2} \sin 	heta_{2}-\mathrm{gt}ight) \hat{j}$

$\vec{v}_{12}=\vec{v}_{1}-\vec{v}_{2}=\left(u_{1} \cos 	heta-u_{2} \cos 	heta_{2}ight) \hat{i}+\left(u_{1} \sin 	heta_{1}-\mathrm{gt}-u_{2} \sin 	heta_{2}+\mathrm{gt}ight) \hat{j}$

which is a constant So the path followed by one, as seen by the other is straight line, making a constant angle with the horizontal.

Two particles are projected simultaneously in the same vertical plane, from the same point on ground, but with same speeds but at different angles $( < 90^o )$ to the horizontal. The path followed by one, as seen by the other, is

Similar Questions

A vector has both magnitude and direction. Does it mean that anything that has magnitude and direction is necessarily a vector? The rotation of a body can be specified by the direction of the axis of rotation, and the angle of rotation about the axis. Does that make any rotation a vector?

Which two motions are considered to be combined for motion in plane ?

$Assertion$ : A tennis ball bounces higher on hills than in plains.
$Reason$ : Acceleration due to gravity on the hill is greater than that on the surface of earth

A person goes $10\, km$ north and $20\, km$ east. What will be displacement from initial point........$km$

Three particles, located initially on the vertices of an equilateral triangle of side $L,$ start moving with a constant tangential acceleration towards each other in a cyclic manner, forming spiral loci that coverage at the centroid of the triangle. The length of one such spiral locus will be