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:
u=0
a=100m/s^2
t=10 s
v=?
s=?
Explanation:
v=u+at
v=0+100[10]
v=1000m/s
s=ut+1/2 at^2
s=0[10]+1/2 [100][10][10]
s=1/2[10000]
s=5000 m
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Given :-
- Initial Velocity = 0 m/s
- Time = 10 seconds
- Acceleration = 100 m/s²
To Find :-
- Final Velocity of that body = ?
- Distance travelled by the body = ?
Answer :-
- Final Velocity of that body = 1000 m/s
- Distance travelled by the body = 5000 m
Explaination :-
First of all we will find the Final Velocity of the body by using first equation of motion :
- v = u + at
Where, v is Final Velocity , u is Initial Velocity , a is Acceleration and t is time taken.
Now, Substitute the given values in above equation :
➻ v = 0 + 100 × 10
➻ v = 100 × 10
➻ v = 1000 m/s
Now,let's calculate the distance travelled by the body by using second equation of motion :
- s = ut + ½ at²
Where, s is Distance , u is Initial Velocity, a is Acceleration and t is time taken.
Now, subsitute the given values in second equation of motion :
➺ s = 0 × 10 + ½ × 100 × 10 × 10
➺ s = ½ × 100 × 10 × 10
➺ s = 100 × 10 × 5
➺ s = 1000 × 5
➺ s = 5000 m
Hence,
- Final Velocity of that body = 1000 m/s
- Distance travelled by the body = 5000 m