At t=0, a positively charged particle of mass m is projected from the origin with velocity `u_(0)` at an angle `37^(@)` fromn the x-axis as sown in the figure-4.235. a constant `vecB_(0)=B_(0)hatj` is present in space. After a time internal `t_(0)` velocity of particle may be:

v_(x) is the velocity of a particle moving along the x-axis as shown in the figure. If x=2.0m at t=1.0s, what is the position of the particle at t=6.0s ?

A particle of charge q and mass m is projected from the origin with velocity v=v_0 hati in a non uniformj magnetic fiedl B=-B_0xhatk . Here v_0 and B_0 are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.

A particle of charge q and mass m is projected from the origin with velocity v=v_0 hati in a non uniformj magnetic fiedl B=-B_0xhatk . Here v_0 and B_0 are positive constants of proper dimensions. Find the maximum positive x coordinate of the particle during its motion.

At t = 0 , the particle is at the origin and its velocity is 10 m//s at an angle 37^(@) with the x-axis. The particle moves in x-y plane with a constant acceleration of 1 m//s^(2) along the y-axis. Find the magnitude and direction of the velocity after 2 s .

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

A charge praticule of sepeific charge (charge/ mass ) alpha is realsed from origin at time t=0 with velocity v= v_(0)(hati+hatj) in unifrom magnetic fields B= B_(0)hati . Co-ordinaties of the particle at time t = (pi)/(B_(0)alpha) are

A charge praticule of sepeific charge (charge/ mass ) alpha is realsed from origin at time t=0 with velocity v= v_(0)(hati+hatj) in unifrom magnetic fields B= B_(0)hati . Co-ordinaties of the particle at time t = (pi)/(B_(0)alpha) are

A small particle of mass m is projected at an angle theta with x-axis with initial velocity upsilon_(0) in x-y plane as shown in Fig. Calculate the momentum of the particle at t lt (upsilon_(0) sin theta)/(g) .

A charged point particle having positive charge q , mass m is projected in x-z plane with a speed v_(0) at an angle theta with the x-"axis" , while another identical particle is projected simultaneously along the y-"axis" from the origin (see figure) with an equal speed v_(0) . An electric field vecE= -E_(0)hatk exists in the x-z plane, while a magnetic field vecB=B_(0)hatk exists in the region y gt 0 ( F_(0) , B_(0) gt 0 ). It is observed that both the particles collide after some time. Assume that the space is gravity free. ( i ) Find the time after which the particles collide and the coordinates of the point of collision. ( ii ) Find the velocity v_(0) and the angle theta in terms of the other variables. ( iii ) What is the maximum value of the z- coordinate of the first particle ?