A stone is vertically projected up with a velocity of 25 m/s Find its time of descent.
(Take g = 10 m/s square)
Answers
A stone is vertically projected up with a velocity of 25 m/s. What is its time of descent (if g=10 m/s)?
The equation of motion for constant acceleration is given by,
v = u + at
s = ut + at²/2
v² = u² + 2as
Where,
v : final velocity
u : initial velocity
a : acceleration
s : displacement
t : time
Since, the acceleration on body is due to the gravity.
‘a’ will be replaced by ‘g’ (9.8 m/s²).
*Direction of acceleration is important*
Using first equation of motion,
v = u - gt , ‘-’is due to the motion of body is against the gravity.
As soon as body reached the highest point, its velocity will be 0 m/s at that time and intially it was thrown with a velocity of 25 m/s.
So,
A stone is vertically projected up with a velocity of 25 m/s. What is its time of descent (if g=10 m/s)?
The equation of motion for constant acceleration is given by,
v = u + at
s = ut + at²/2
v² = u² + 2as
Where,
v : final velocity
u : initial velocity
a : acceleration
s : displacement
t : time
Since, the acceleration on body is due to the gravity.
‘a’ will be replaced by ‘g’ (9.8 m/s²).
*Direction of acceleration is important*
Using first equation of motion,
v = u - gt , ‘-’is due to the motion of body is against the gravity.
As soon as body reached the highest point, its velocity will be 0 m/s at that time and intially it was thrown with a velocity of 25 m/s.
So,
0 =25 - gt
=> t = 25/10 = 2.5 sec
This is the time taken to reached the highest point, therefore body will take same amount of time to reached the starting point i.e. 2.5 sec.
Time of descent = Time taken to reach the starting point.
Time of descent = 2.5 sec
Hope it helped you!
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Explanation :
EQUATION OF MOTION: v = u-gt
s = ut +1/2at^2
v^2 = u^2 + 2as
Considering:
V = 0
U = 25ms
G = 10ms^2
Now, Using the first Equation of Motion: v = u-gt
On substituting the values we get :
0 = 25 - 10(t)
0 = 25 - 10t
10t = 25
t = 25/10
t = 2.5 s
Therefore the time of descent will be 2.5 seconds
HOPE THIS HELPS YOU
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