A particle initially located at the origin has an acceleration of a = 2.00j m/s2 and an initial velocity of V; = 9.00i m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ti + +2 j) m (b) Find the velocity of the particle at any time t. i + t j) m/s (c) Find the coordinates of the particle at t = 7.00 s. X= m y = m (d) Find the speed of the particle at t = 7.00 s. m/sA ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 9.20 m/s at an angle of 21.0 below the horizontal. It strikes the ground 6.00 s later. (a) How far horizontally from the base of the building does the ball strike the ground? m (b) Find the height from which the ball was thrown. m (c) How long does it take the ball to reach a point 10.0 m below the level of launching