Question

A body is thrown vertically upwards from the earth with a velocity of 100m/s. what is the time taken by the body to reach the earth ​

Answer 1

Answer:

➜Given:

A body is thrown vertically upwards from the earth with a velocity of 100m/s

➜To Find:

time taken by the body to reach the earth

➜Solution:

u = 100

At maximum height v = 0

s = maximum height

acceleration a = - 10

3rd equation of motion

v ^2 = u^2 + 2as

0 = 100^2 + 2(-10)s

s = 10000/20

s = 500 meter

To find time taken (t):

By first equation of motion

v = u + at

0 = 100 + (-10) t

t = 10 s

To find velocity after 5 s (v):

v = u + at

v = 100 + (-10)5

v = 50m/s

Answer 2

Answer:

The Body will take 20.4 seconds (approx) to reach the Earth.

Explanation:

Given,

v = 0m/s ( since, the body will come to a stop at its highest point)

u = 100m/s

acceleration due to gravity = 9.8m/s²

t =?

Using the first equation of motion,

v = u + at

0 = 100 + (-9.8)t

0 - 100 = -9.8t

100/9.8 = t

t = 10.2 seconds

Time taken to reach the highest point = 10.2 seconds

So, time taken to reach the Earth = 10.2 + 10.2

= 20.4 seconds

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