Question

You are in Paris, 60 m up in the Eiffel Tower. If you throw a euro downward at a velocity of 2.0 m/s, how long would it take the euro to hit the ground? Neglect air resistance.

Answer 1

t = 3.29 seconds

Step-by-step explanation:

It is given that,

Height of the Eiffel tower is 60 m

Initial speed of a euro, u = 2 m/s

It will move under the action of gravity in the downward direction. Firstly, we can find the final velocity as follows :

`v^2-u^2=2ad\\\\v=√(u^2+2ad) \\\\v=√((2)^2+2* 9.81* 60) \\\\v=34.36\ m/s`

Let t is the time taken by the euro to hit the ground. It can be calculated as :

`v=u+at\\\\t=(v-u)/(a)\\\\t=(34.36-2)/(9.81)\\\\t=3.29\ s`

Hence, it will take 3.29 seconds to hit the ground.