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An electron starting from rest has a velocity that increases linearly with the time that is v equal to kt,where k is 2m/sec2.the distance travelled in the first 3 sec will be 1)9m 2)16m 3)27m 4)36m?
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An electron starting from rest has a velocity that increases linearly ...
Given information:
- Initial velocity (u) = 0 m/s
- Acceleration (a) = k = 2 m/s²
- Time (t) = 3 sec

Using the kinematic equation:
v = u + at

Calculating the velocity (v):
v = u + at
v = 0 + (2 m/s²)(3 sec)
v = 6 m/s

Calculating the distance travelled (S):
Using the kinematic equation:
v² = u² + 2aS

Since the initial velocity (u) is 0, the equation simplifies to:
v² = 2aS

Substituting the known values:
(6 m/s)² = 2(2 m/s²)S
36 = 4S
S = 9 m

Conclusion:
The distance traveled by the electron in the first 3 seconds is 9 meters. Therefore, the correct option is 1) 9m.
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An electron starting from rest has a velocity that increases linearly with the time that is v equal to kt,where k is 2m/sec2.the distance travelled in the first 3 sec will be 1)9m 2)16m 3)27m 4)36m?
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