If a ball is thrown downward from the top of a building with initial velocity of #10 "m"/"s"# and strikes the ground with a speed of #60 "m"/"s"#, how tall is the building?

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This is a differential equations class, so we are being asked to use integrals.

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Answer 1 · 2018-04-25T15:02:38

#s=178m#

For this type of question, the best thing is to use the equation

#(V_f)^2=(V_i)^2+2as#

Where #V_f# is final velocity, #V_i# is initial velocity, #a# is acceleration, and #s# is displacement.

From here, you can just put in the values and solve for #s#.

#(60m/s)^2=(10m/s)^2+2(9.81m/s^2)*s#

#s=178m#