SATHEE: Kinematics Question 372

Kinematics Question 372

Question: A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is

Options:

A) $3 m s^{- 1}$

B) $2.5 m s^{- 1}$

C) $2 m s^{- 1}$

D) $1 m s^{- 1}$

Show Answer

Answer:

Correct Answer: D

Solution:

Let u be the initial velocity that have to find and a be the uniform acceleration of the particle. For $t = 3 s$ , distance travelled

$S = 12 m$ and For $t = 3 + 3 = 6 s$

distance travelled $S = 12 + 30 = 42 m$ From, $S = u t + 1 / 2 a t^{2}$

$12 = u \times 3 + \frac{1}{2} \times a \times 3^{2}$

Or $24 = 6 y + 9 a \dots (i)$

Similarly, $42 = u \times 6 + \frac{1}{2} \times a \times 6^{2}$

Or $42 = 6 y + 18 a \dots (i i)$ On solving, we get $u = 1 m s^{- 1}$

Kinematics Question 372

Question: A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Kinematics Question 372

Question: A particle starting with certain initial velocity and uniform acceleration covers a distance of 12 m in first 3 seconds and a distance of 30 m in next 3 seconds. The initial velocity of the particle is

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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