Question

a body is moving with a velocity of 2m/s. if the velocity of the body becomes 5m/s after 4seconds, the acceleration of the body would be​

Answer 1

Answer:

The velocity of the body = 2 m/s

The velocity changes to = 5 m/s

Time taken = 4 s

The acceleration = ?

Using first equation of motion :

v = u + at

⇒ 5 = 2 + a×4

⇒ 5 - 2 = 4a

⇒ 3 = 4a

⇒ a = 3/4

⇒ a = 0.75 m/s²

Hence, the acceleration of the body is 0.75 m/s².

More Information :

• Acceleration is the rate of change of velocity.
• Velocity is the rate of change of displacement.
• Speed is the rate of change of distance.
• Displacement is the shortest distance between the initial position and the final position of the body.
• Distance if the total length of the path travel by the body.
• Acceleration, velocity and displacement are vector quantities.
• Speed and distance are scalar quantities.

Answer 2

Answer:

• Initial Velocity ( u ) = 2 m/s
• Final Velocity ( v ) = 5 m/s
• Time Taken ( t ) = 4 s
• Acceleration ( a ) = ?

⠀

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf Acceleration=\dfrac{Final\: Velocity- Initial\: Velocity}{Time}\\\\\\:\implies\sf Acc^n=\dfrac{v-u}{t}\\\\\\:\implies\sf Acc^n = \dfrac{(5 - 2)}{4}\\\\\\:\implies\sf Acc^n = \dfrac{3}{4}\\\\\\:\implies\underline{\boxed{\sf Acc^n = 0.75 \:m \:s^{ - 2} }}$