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Oksana_A [137]
1 year ago
13

A football is kicked from ground level with an initial velocity of 20.2 m/s at angle of 43.0 above the horizontal. How long, in

seconds, is the football in the air before it hits the ground? Ignore air resistance. s
Physics
1 answer:
egoroff_w [7]1 year ago
7 0

Given data

*The given initial velocity of the football is v = 20.2 m/s

*The angle above the horizontal is

\theta=43.0^0

*The value of the acceleration due to gravity is a = -9.8 m/s^2

The vertical component of the velocity is calculated as

\begin{gathered} v_i=v\sin \theta \\ =(20.2)\times\sin (43.0^0) \\ =13.77\text{ m/s} \end{gathered}

The formula for the time required by the ball to reach the maximum height is given by the equation of motion as

v_f=v_i+at

*Here v_f = 0 m/s is the final velocity of the football at maximum height

Substitute the known values in the above expression as

\begin{gathered} (0)_{}=13.77+(-9.8)(t) \\ t=1.40\text{ s} \end{gathered}

The total time is taken by the football before it hits the ground is calculated as

\begin{gathered} T=t+t \\ =1.40+1.40 \\ =2.80\text{ s} \end{gathered}

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