annonomus7726 annonomus7726
  • 17-09-2018
  • Physics
contestada

Sarah throw a ball straight up in the air with initial velocity of 19.62m/s. how long will the ball be in the air

Respuesta :

aristocles aristocles
  • 27-09-2018

Here Sarah projected the ball upwards by speed

[tex]v_i = 19.62 m/s[/tex]

here the acceleration is due to gravity

[tex]a = 9.81 m/s^2[/tex]

now when ball again lends on the ground the displacement of ball will be zero

[tex]\delta y = v_y * t + \frac{1}{2} at^2[/tex]

[tex]0 = 19.62 t - \frac{1}{2}9.81*t^2[/tex]

by solving above equation

[tex]t = 4 s[/tex]

so it will take 4 s to reach back on ground

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