All ball is thrown up with a vertical velocity of 54 m/s and a horizontal velocity of 39 m/s. Calculate how many seconds it will take for it to reach its peak (assume no air resistance). (Answer to two decimal places).

Respuesta :

5.5 s

Explanation:

The time it takes for the ball to reach its maximum height can be calculated using

[tex]v_y = v_{0y} - gt \Rightarrow t = \dfrac{v_{0y}}{g}[/tex]

since [tex]v_y = 0[/tex] at the top of its trajectory. Plugging in the numbers,

[tex]t = \dfrac{(54\:\text{m/s})}{(9.8\:\text{m/s}^2)} = 5.5\:\text{s}[/tex]