Question

Please Solve for me this problems. Thank you so much

10) A ball is dropped from height H and accelerates downward with acceleration g. In terms of H and g, solve for the time it takes to hit the ground. 15) A particle is moving in a straight line with constant a cceleration a. Derive a general equation for velocity v at position x in terms of initial velocity vo, initial position x0, and acceleration a.

Answer 1

Using the kinematic equation: delta y = v_o t + 1/2 a t^2 [because v_o = 0] H = 1/2 g t^2 rightdoublearrow t = squareroot 2 H/g t = squareroot 2 g H (15) delta x = (x - x_o) use the kinematic equation: V^2 = V^2_o + 2 a delta x V^2 = V^2_o + 2 a(x - x_o) rightdoublearrow V = squareroot^2_o + 2 a (x - x_o)