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Sindrei [870]
3 years ago
7

The speed of an object is given by v = 5.00t^2 + 4.00t where v is in m/s and t is in s. What is the acceleration of the object a

t t = 2s?
Physics
1 answer:
nexus9112 [7]3 years ago
8 0
The speed is 
v = 5t² + 4t
where 
v is in m/s, and t in s.

The acceleration is the derivative of the velocity. It is
a = 10t + 4

When t = 2 s, the acceleration is
a(2) = 10*2 +4 = 24 m/s²

Answer: 24 m/s²
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Answer:

a) Instantaneous rate at which the force does work on the object = -6 W

b) \texttt{Velocity of object,}\vec{v}=4\hat{j}

Explanation:

a) Given that

             \vec{F}=3\hat{i}-3\hat{j}

   and

            \vec{v}=-2\hat{i}+4\hat{k}

Instantaneous rate at which the force does work on the object is called power.

          Power is the dot product of force and velocity.

          P=\vec{F}.\vec{v}=(3\hat{i}-3\hat{j}).(-2\hat{i}+4\hat{k})=-6W

Instantaneous rate at which the force does work on the object = -6 W

b) Here given that    \vec{v}=-a\hat{j}

  Power = -12 W

  P=\vec{F}.\vec{v}=(3\hat{i}-3\hat{j}).a\hat{j}=-12W\\\\-3a=-12\\\\a=4\\\\\vec{v}=4\hat{j}

\texttt{Velocity of object,}\vec{v}=4\hat{j}

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A car starts from rest and accelerates at 9 m/s². After 240 m. the final speed is 66 m/s.

<h3>What is Uniformly Accelerated Motion?</h3>

Uniformly Accelerated Motion is the motion of an object where the acceleration is constant.

A car starts from rest, that is, its initial speed is 0 m/s. It accelerates at 9 m/s². We can find the final speed after 240 m using the following kinematic equation.

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where,

  • v is the final speed.
  • u is the initial speed.
  • a is the acceleration.
  • s is the displacement.

A car starts from rest and accelerates at 9 m/s². After 240 m. the final speed is 66 m/s.

Learn more about Uniformly Accelerated Motion here: brainly.com/question/10178440

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