Rexdawg2444 Rexdawg2444
  • 03-02-2021
  • Physics
contestada

Henry throws a ball with a velocity of 30 m/s, how much time will it take the ball to reach a height of 45 m?

Respuesta :

Muscardinus Muscardinus
  • 04-02-2021

Answer:

t = 1.24 seconds

Explanation:

Given that,

Velocity of the ball, u = 30 m/s

Height, h = 45 m

We need to find how much time will it take the ball to reach a height of 45 m. Let the time be t.

Using the second equation of motion to find it.

[tex]h=ut+\dfrac{1}{2}at^2\\\\45=30t+\dfrac{1}{2}\times 9.8\times t^2\\\\45=30t+4.9t^2\\\\30t+4.9t^2-45=0\\\\t=1.24\ s\ \text{and}\ -7.36\ s[/tex]

Neglecting negative value,

The ball will reach to a height of 45 m in 1.24 seconds.

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