1. Tardigrade
  2. Question
  3. Physics
  4. A player throws a ball upwards with an initial speed of 29.4 ms -1. Taking g=9.8 ms -2, the time taken by the ball to return to the player's hand is

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Q. A player throws a ball upwards with an initial speed of $29.4 \,ms ^{-1}$. Taking $g=9.8\, ms ^{-2}$, the time taken by the ball to return to the player's hand is

Motion in a Straight Line

Solution:

Using, $s=u t+\frac{1}{2} a t^{2}$
$s=0, u=29.4 \,ms ^{-1}$ and $a=-9.8 \, ms ^{-2}$
$0=29.4 t-\frac{9.8}{2} t^{2}$
$0=t(29.4-4.9\, t) \Rightarrow t = 0 s$
or $t=\frac{29.4}{4.9}=6 s$
$0 s$ is the initial time, so the ball takes $6 s$ to return to the player's hand.