Question

Previous ProblemProblem ListNext Problem (1 point) A bullet is fired in the air vertically from ground level with an initial velocity 214 m/s. Find the bullet's maximum velocity and maximum height. Maximum velocity m/s; Maximum heights

Answer 1

Initial velocity = 210 m/s = v_0 bullet is fixed vertically upward so both velocity and acceleration due to gravity are in opposite direction we take g as -ve initial position = s_0 = = 0m according to the galies's formula S(t) = S_0 + v_0 t -1/2 gt^2 V(t) = ds(t)/dt = V_0 = -1/2 times 2 gt V(t) = V_0 - gt v(t) = 214 - 9 8 t We can see as we increase in time the velocity will decrease so maximum velocity can be achieved at t = 0 i e v_max = 214 m/s we know that maximum height is attained when v(t) = 0 v(t) = 214 - 9 8 t 0 = 214 - 9 8 t therefore t = 214/9 8 s \r\n so maximum height attained by the bullet will be s(214/9 8) = s_0 + v_0 t - 1/2 gt^2 = 0 + 214 times 214/9 8 - 1/2 times 9 8