Equations of motion of a projectile are x= 10t, y = 40t 5t^2. Where x, y, t are in S.l. units. If g=10m/s, the time after which its velocity makes 45° with the horizontal is (A) 3s (B) 2s (C) 6s (D) 4s

Velocity and acceleration of a particle are v=(2 hati) m/s and a = (4t hati+t^2 hatj) m /s^2 where, t is the time. Which type of motion is this ?

The horizontal and vertical displacements of a projectile at time t are x=36t and y=48t-4.9t^(2) respectively where x ,y are in meters and t in seconds.Initial velocity of the projectile in m/s is

The acceleration of a particle varies with time t as a=t^(2)+t+2 where t is in seconds. The particle starts with an initial velocity v-3m/s at t=0. find the velocity of the particle at the end of 5s.

If displacement S at time t is S=10t-5t^(2) , then velocity at time t is

A projectile is thrown with a velocity of 20 m//s, at an angle of 60^(@) with the horizontal. After how much time the velocity vector will make an angle of 45^(@) with the horizontal (in upward direction) is (take g= 10m//s^(2))-

. If the velocity of a particle is (10 + 2 t 2) m/s , then the average acceleration of the particle between 2s and 5s is

A particle is projected horizontally with a speed of (40)/(sqrt3)m//s , from some height t = 0 . At what time its velocity makes 60^(@) angle with initial velocity. (g=10m//s^(2))

Following are three equations of motion S(g)=ut+(1)/(2)at^(2) v(s)=sqrt(u^(2)+2as) v(t)=u+at Where ,S,u,t,a,v are respectively the displacement ( dependent variable ) , initial ( constant ) , time taken ( independent variable ) , acceleration ( constant ) and final velocity ( dependent variable ) of the particel after time t . Find the displacement of the particle when its velocity becomes 10m//s if acceleration is 5m//s^(2) all through -

Two sources S_1 " and "S_2 separated 2.0 m, vibrate according to equation y_1= 0.03 sin pi t " and " y_2= 0.02 sin pi t " where "y_1, y_2 and t are in M.K.S unit. They send out waves of velocity 1.5 m/s. Calculate the amplitude of the resultant motion of the particle co-linear with S_1 " and "S_2 and located at a point In the middle of S_2 " and "S_2 .

The intantaneous coordinates of a particle are x= (8t-1)m and y=(4t^(2))m . Calculate (i) the average velocity of the particle during time interval from t =2s to t=4s (ii) the instantaneous velocity of the particle at t = 2s .