Gray Frazier
04/14/2023 · High School

The height \( h \), in feet, of a projectile can be modeled by the equation \( h(t)=-16 t^{2}+v_{0} t+h_{0} \) where \( t \) is the time in seconds, \( h_{0} \) is the projectile's initial height in feet, and \( v_{0} \) is the projectile's initial vertical velocity in feet per second. Solve the projectile motion problem by completing the square. A soccer player kicks a soceer ball from the ground with an initial vertical velocity of var : \( v 0 \) feet per secoad. When will the ball land back on the ground? Round to the nearest tenth of a second. Enter the correct value in the box. Show Hints The ball will land on the ground again in \( \square \) second(s).

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The time \( t \) when the ball lands back on the ground is \( t = \frac{v_0}{16} \) seconds.

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