A ball moving with a velocity of 0.5 m/s. Its velocity is decreasing at the rate of 0.05 m/s2. What is its velocity after 5 s? How much time will it take from start to stop?
Answers
Explanation:
Given,
u = 0.5 m/s
a=0.05 m/s²
and v=0
Now, v = u − at
=> 0 = 0.5−(0.05×t)
=> t = 10 s
after 10s it will stop
velocity after 5s is
v = 0.5-(0.05×5) = 0.25 m/s
QUESTION :-
A ball moving with a velocity of 0.5 m/s. Its velocity is decreasing at the rate of 0.05 m/s2. What is its velocity after 5 s? How much time will it take from start to stop?
ANSWER :-
There is a ball which is moving with velocity = 0.5 m/s
the velocity starts decreasing at the rate of = 0.05 m/s^-2
To Find :-
a)- velocity after 5 s. (When t = 5 seconds)
b) - time it takes from start to stop. (When v = 0)
Given values-
Initial velocity ( u ) = 0.5 m/s
Final velocity ( v ) = 0
Retardation ( - a ) = - 0.05 m/s^-2
We know,
v = u + at
[ Newton's first equation of motion ]
a) -
Using Newton's first equation of motion equation -
v = 0.5 + ( - 0.05 ) × 5
v = 0.5 - 0.25
v = 0.25 m/s
b) -
Using Newton's first equation of motion equation -
0 = 0.5 - 0.05 × t
0-0.5 = -0.05 × t
-0.5 = -0.05 × t
0.5 ÷ 0.05 = t
50 ÷ 5 = t
10s = t
Hence,
Velocity after 5 seconds is 0.25 meter per second.
The ball stopped after 10 second from start.