A body starting from rest accelerate uniformly at the rate of 100m/s-2 for 10 seconds. Calculate the final velocity at the end of 10 seconds and the distance travelled during this interval.
Answers
Answer:-
→Final velocity = 1000m/s
→Distance travelled = 5000m
Explanation:-
Given:-
→Initial velocity if the body (u) = 0
[as it starts from rest]
→Acceleration (a) = 100m/s²
→Time (t) = 10 seconds
To find:-
→Final velocity at the end of 10s.(v)
→Distance travelled in given time
interval.(s)
Solution:-
By using the 1st equation of motion,
we get :-
=> v = u+at
=> v = 0+100(10)
=> v = 1000m/s
Now, by using the 2nd equation of motion,we get :-
=> s = ut+1/at²
=> s = 0(t)+1/2×100×(10)²
=> s = 50×100
=> s = 5000m
Thus:-
•Final velocity after 10s is 1000m/s.
•Distance travelled is 5000m.
Initial velocity if the body is at rest
Acceleration of the body is 100m/s²
Time taken by the body is 10sec
To find, Final velocity at the end of 10sec and Distance travelled
Solution:-
By using the 1st equation of motion,
➝ v = u+at
➝ v = 0+100(10)
➝ v = 1000m/s
hence, final velocity of the body is 100m/s
Now, by using the 2nd equation of motion,
➝ s = ut+1/at²
➝ s = (0)(t)+1/2(100)(10)²
➝ s = 50×100
➝ s = 5000m
hence, distance travelled by the body is 5000m