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Q.

The velocity of a particle moving with a uniform acceleration of 10 ms2after 5 s is 50 ms1. Its velocity of the particle in the beginning of 5th second is

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a

30 ms1

b

10 ms1

c

20 ms1

d

40 ms1

answer is D.

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Detailed Solution

velocity of 5th second

velocity of particle at the beginning of 5th second                             

= velocity of particle at the end of 4 sec = 40 m/s

Explanation: 

To find the velocity of the particle at the beginning of the 5th second, we use the formula:

vn = u + a(n - 1)

Where:

Given:

  • Acceleration (a): 10 m/s2
  • Time (n): 5 seconds
  • Velocity after 5 seconds (v): 50 m/s

Step 1: Calculate Initial Velocity (u)

Using the equation of motion:

v = u + at

Substitute the values:

50 = u + 10 × 5

u = 50 - 50 = 0 m/s

Step 2: Calculate Velocity at the Beginning of the 5th Second

Using the formula:

v5 = u + a(n - 1)

Substitute the values:

v5 = 0 + 10 × (5 - 1)

v5 = 10 × 4 = 40 m/s

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