The particle is uniformly accelerated with an acceleration of 8 m s for 5 second. If it starts from rest, then the displacement of this particle in the last 1s will be
(a) 1 m (b) 2m. (c) 3 m (d) 36 m
Answers
Answer:
hey mate your answer is (d) 36m
Explanation:
Given that,
The acceleration a=8m/s2
Initial velocity u=0m/s
We know that,
The displacement in the nth second
=u+a(n−21)
Now, the displacement in 5th second
=0+8(5−21)
=36m
Hence, the distance covered by it in fifth second is 36 m
hope it helps you
Given info : The particle is uniformly accelerated with an acceleration of 8m/s² for 5 sec. If it starts from rest.
To find : the displacement of this particle in the last 1 s will be ...
solution : initial velocity of the paticle , u = 0 m/s
acceleration , a = 8m/s²
time, t = 5 sec,
using formula, s = ut + 1/2 at²
distance travelled in the last 1 sec = distance travelled in 5 sec - distance travelled in 4 sec
= [ 0 × 5 + 1/2 × 8 × 5² ] - [ 0 × 4 + 1/2 × 8 × 4² ]
= 100 - 64
= 36
therefore the displacement of this particle in the last 1sec will be 36 m. so the correct option is (d).