Question

In: Physics

Question 1 a) A girl throws a stone vertically upwards with an initial speed of 5...

Question 1

a) A girl throws a stone vertically upwards with an initial speed of 5 m/s. How much later must she drop another stone from the same point 1.2 m above the ground so that the two stones reach the ground simultaneously?

Expert Solution

Given, for the first stone,

the initial velocity is

its initial kinetic energy gets converted to potential energy at the highest point it reaches,

that is

At this maximum height its velocity is zero

time taken by the first stone to reach this height is

therefore,

from this quadratic equation, we get

Now, this stone starts to fall, with 0 initial velocity, then the time taken to fall to ground is

therefore,

therefore total time for the first stone to reach the ground is

for the second stone,

initial height is

initial velocity is

let time taken to reach the ground be , therefore

therefore, required answer is time after which she should drop the second stone

genius_generous answered 2 years ago

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