A body is initially moving with a velocity of 5 m/s. It undergoes an acceleration of 2 m/s2 for 4 seconds. Find the displacement (in m) of this body in these 4seconds.
A) 4 B) 72 C) 36 D) 8
Answers
Answer:
(C) 36 metres
Explanation:
Given :
- Initial velocity of the body = u = 5 m/s
- Acceleration of the body = a = 2 m/s²
- Time taken for the body = t = 4 seconds
To find :
- Displacement in metres of the body
Using the second equation of motion :
S=ut+½×at²
S=5×4+½×2×16
S=20+16
S=36 metres
The Displacement of the body after 4 seconds is equal to 36 metres with an acceleration of 2 m/s² in 4 seconds
Hence option c is correct
Answer :
Given that body moving with initial speed of 5 m/s . It undergoes an acceleration of 2 m/s² for 4 seconds.
We have to find displacement of body in these 4 seconds. A) 4. b) 72. c) 36. d) 8
From data we have :
Initial speed (u) = 5 m/s
Acceleration (a) = 2 m/s²
Time (t) = 4 seconds.
We will use 2nd equation of motion to find displacement :
→ s = ut + ½ at²
Substituting values,
→ s = 5 × 4 + ½ × 2 × 4²
→ s = 20 + 4²
→ s = 20 + 16
→ s = 36 m
∴ Displacement of body in 4 seconds = 36 m
∴ Correct option : C) 36 m
Equations of motion :
→ v = u + at. (i)
→ s = ut + ½ at². (ii)
→ v² - u² = 2as. (iii)