# An electric toy car with a mass of #2 kg# is powered by a motor with a voltage of #8 V# and a current supply of #3 A#. How long will it take for the toy car to accelerate from rest to #4 m/s#?

The product of voltage and current is the power input.

The vehicle's change in kinetic energy is

The energy divided by the power equals the amount of time required.

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To find the time it takes for the toy car to accelerate from rest to 4 m/s, we can use the equation:

Acceleration = (v - u) / t

Where:

- v is the final velocity (4 m/s)
- u is the initial velocity (0 m/s, as it starts from rest)
- t is the time taken
- acceleration is given by the formula: acceleration = (force / mass)

We can find the force using the formula: force = voltage × current

Then, we can find acceleration using the formula: acceleration = force / mass

Finally, rearranging the first equation, we can solve for time:

Time = (v - u) / acceleration

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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.

- An electric toy car with a mass of #6 kg# is powered by a motor with a voltage of #7 V# and a current supply of #6 A#. How long will it take for the toy car to accelerate from rest to #4 m/s#?
- A circuit with a resistance of #4 Omega# has a fuse melts at #6 A#. Can a voltage of #48 V# be applied to the circuit without blowing the fuse?
- A charge of #9 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #27 J# to #12 J#, what is the voltage between points A and B?
- A circuit with a resistance of #8 Omega# has a fuse with a capacity of #3 A#. Can a voltage of #36 V# be applied to the circuit without blowing the fuse?
- If a current of #4 A# passing through a circuit generates #28 W# of power, what is the resistance of the circuit?

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