Falling Objects| College Physics| Openstax| Problem 2.48|

A very strong, but inept, shot putter puts the shot straight up vertically with an initial velocity of 11.0 m/s. How long does he have to get out of the way if the shot was released at a height of 2.20 m, and he is 1.80 m tall?


The known values are


The applicable formula is \Delta y=v_0t+\frac{1}{2}at^2.




Using the quadratic formula solve for t, we have

\:t=\frac{-\left(-11\right)\pm \sqrt{\left(-11\right)^2-4\left(4.90\right)\left(-0.40\right)}}{2\left(4.90\right)}


Therefore, t=2.28\:s





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