How high can a baseball player throw a ball in the air if he can throw it with initial velocity 160 km/h? What would that be standard units?

1 Answer
A08
Dec 14, 2016

#100.68m#, rounded to two decimal places

Explanation:

Initial velocity #u=160kmh^-1#
Converting in SI units we get #u=160xx1000/3600=44.bar4ms^-1#

When the ball is thrown up, assuming vertically, gravity #g=9.81ms^-2# will slow it down as it is acting against the direction of motion. At the highest point #h# the final velocity #v# will be equal to #0#. Ignoring air friction.
Applicable kinematic equation is
#v^2-u^2=2gh#
Inserting given values we get
#0^2-(44.bar4)^2=2xx(-9.81)xxh#
#=>h=100.68m#, rounded to two decimal places

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