Question
Download Solution PDFDue to an acceleration of 4 m/s2 the velocity of a body increases from 10 m/s to 30 m/s in a certain period. Find the displacement (in m) of the body in that period.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Equation of motion: The mathematical equations used to find the final velocity, displacements, time, etc of a moving object without considering force acting on it are called equations of motion.
- These equations are only valid when the acceleration of the body is constant and they move on a straight line.
- There are three equations of motion:
V = u + at
V2 = u2 + 2 a S
\({\text{S}} = {\text{ut}} + \frac{1}{2}{\text{a}}{{\text{t}}^2}\)
Where, V = final velocity, u = initial velocity, s = distance traveled by the body under motion, a = acceleration of body under motion, and t = time taken by the body under motion.
EXPLANATION:
v = 30 m/s, u = 10 m/s, a = 4 m/s2
We know that,
⇒ v2 = u2 + 2aS
⇒ 2aS = v2 – u2
⇒ 2 × 4 × S = 900 - 100
⇒ 8S = 800
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