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A robot fires a yellow 7" foam ball at an angle of 35° above the horizontal and a speed of 14m/s. How long is the ball in the air (ignore air resistance)?
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A robot fires a yellow 7" foam ball at an angle of 35° above the horizontal and a speed of 14m/s.

How long is the ball in the air (ignore air resistance)?

User Betagreg
by
5.3k points

1 Answer

4 votes

Answer: 1.62 s

Explanation: First find the y component of the velocity given with respect to its angle.

Vy= v(sin angle)

= 14 m/s ( sin 35)

= 7.98 m/s

To solve for time we use a=vf-vi/t

0-7.98/ 9.8 m/s² = 0.81s

0.81s is the time needed to reach its max. height so to find the total time we will multiply it by 2

0.81 s x 2 = 1.62 s

User Dwarrior
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