# An electric toy car with a mass of #3 kg# is powered by a motor with a voltage of #7 V# and a current supply of #5 A#. How long will it take for the toy car to accelerate from rest to #2 m/s#?

The time is

The power is

The kinetic energy is

But,

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To find the time it takes for the toy car to accelerate from rest to 2 m/s, we can use the formula for acceleration:

$a = \frac{F}{m}$

where $a$ is the acceleration, $F$ is the force, and $m$ is the mass.

The force $F$ can be calculated using the formula:

$F = I \cdot V$

where $I$ is the current and $V$ is the voltage.

Then, we can use the formula for acceleration:

$a = \frac{F}{m}$

to find the acceleration.

Next, we can use the formula for uniform acceleration:

$v = u + at$

where:

- $v$ is the final velocity (2 m/s),
- $u$ is the initial velocity (0 m/s),
- $a$ is the acceleration (which we found earlier), and
- $t$ is the time.

Now, we can rearrange the formula to solve for $t$:

$t = \frac{v - u}{a}$

Substitute the known values into the equation and solve for $t$ to find the time it takes for the toy car to accelerate from rest to 2 m/s.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- A charge of #4 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #17 J# to #1 J#, what is the voltage between points A and B?
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- A charge of #30 C# passes through a circuit every #5 s#. If the circuit can generate #42 W# of power, what is the circuit's resistance?
- A charge of #-1 C# is at the origin. How much energy would be applied to or released from a # 3 C# charge if it is moved from # (-5 ,1 ) # to #(2 ,-6 ) #?

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