Math, asked by samora28, 5 months ago

3. An object with an initial velocity of 20 m/s accelerates unlformly at 5 m/s2 in the direction of its motion for a distance of 10m. What is the final velocity of the object?


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Answers

Answered by anshu005512
0

Answer:

Final Velocity Formula

v f = v i + a Δ t . v_f = v_i + aΔt. vf=vi+aΔt. For a given initial velocity of an object, you can multiply the acceleration due to a force by the time the force is applied and add it to the initial velocity to get the final velocity.

Answered by Anonymous
14

Let the final velocity of the object be x and we know that as

  • Initial velocity (u) = 20 m/s
  • Acceleration (a) = 5 m/s²
  • Distance (s) = 10 m

~We can use Third Equation of Motion to get required value i.e. Final Velocity as:-

 \circ \ {\pmb{\underline{\boxed{\sf\pink{ v^2 = u^2 + 2as }}}}} \\ \\ \\ \dag \ {\pmb{\underline{\sf{ According \ to \ Question: }}}} \\ \\ \\ \colon\implies{\sf{ v^2 = (20)^2 + 2 \times 5 \times 10 }} \\ \\ \\ \colon\implies{\sf{ v^2 = 400+ 100 }} \\ \\ \\ \colon\implies{\sf{ v^2 = 500 }} \\ \\ \\ \colon\implies{\sf{ v = \sqrt{500} }} \\ \\ \colon\implies{\large{\underline{\boxed{\pmb{\sf\blue{ v = 22.4 \ m/s }}}}}}

Hence,

The Final velocity of the object after 10m will be 22.4 m/s.

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