A ball is projected from ground and it crosses point A and B which are on same level after 3 sec and 5 sec of projection. If ball is at half of maximum height at time `t_(1)` & `t_(2)` ,then find `(t_(1)+t_(2))/2`.

A ball is projected from ground and it crosses point A and B which are on same level after 3 sec and 5 sec of projection. If ball is at half of maximum height at time t_(1) & t_(2) , then find (t_(1) + t_(2))/5 .

A ball projected from ground vertically upward is at same height at time t_(1) and t_(2) . The speed of projection of ball is [Neglect the effect of air resistance ]

A ball is projected at some angle with ground such that it is at a particular height two times at t = 4s and t = 6s . Find the maximum height of the projecticle during the motion.

A particle is projected with speed u at angle theta with horizontal from ground . If it is at same height from ground at time t_(1) and t_(2) , then its average velocity in time interval t_(1) to t_(2) is

A particle when projected vertically upwards from the ground, takes time T to reach maximum height H. Find out (i) The height of the particle from ground at T//2,2T//3,4T//3,5T//4 and also find the ratio of K.E. to P.E. for particle at the same instant of time. (ii) If the particle crosses a point at height 7H//16 at time t_(1) and t_(2) then find t_(1)//t_(2)

A ball is projected from origin at time t= 0. The x and y coordinates of its displacement are given by (x = 4t^2) and y = (3t - 5) . Then its instantaneous velocity at any time t is

A projectille can have the same range R for two angles of projection. If t_(1) and t_(2) be the time of flight in the two cases, then find the relation between t_(1), t_(2) and R .

Two bodies are projected from the same point with same speed in the directions making an angle alpha_(1) and alpha_(2) with the horizontal and strike at same point in the horizontal plane through a point of projection. If t_(1) and t_(2) are their time of flights.Then (t_(1)^(2)-t_(2)^(2))/(t_(1)^(2)+t_(2)^(2))

Two particles projected form the same point with same speed u at angles of projection alpha and beta strike the horizontal ground at the same point. If h_1 and h_2 are the maximum heights attained by the projectile, R is the range for both and t_1 and t_2 are their times of flights, respectively, then