# An electric toy car with a mass of #5 kg# is powered by a motor with a voltage of #12 V# and a current supply of #5 A#. How long will it take for the toy car to accelerate from rest to #3 m/s#?

The power input is the product of the voltage and the current.

The change in kinetic energy for the car is

Thus, the time needed is the energy divided by the power.

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To find the time it takes for the toy car to accelerate from rest to 3 m/s, we can use the equation ( t = \frac{v_f - v_i}{a} ), where ( v_f ) is the final velocity (3 m/s), ( v_i ) is the initial velocity (0 m/s since the car starts from rest), and ( a ) is the acceleration.

We can find the acceleration using Newton's second law, ( F = ma ), where ( F ) is the force and ( m ) is the mass of the car.

First, calculate the force: [ F = VI = (12 , V)(5 , A) = 60 , N ]

Then, calculate the acceleration: [ a = \frac{F}{m} = \frac{60 , N}{5 , kg} = 12 , m/s^2 ]

Now, plug the values into the equation for time: [ t = \frac{v_f - v_i}{a} = \frac{3 , m/s - 0 , m/s}{12 , m/s^2} = 0.25 , s ]

So, it will take the toy car 0.25 seconds to accelerate from rest to 3 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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- If a current of #6 A# passing through a circuit generates #42 W# of power, what is the resistance of the circuit?
- Will two point charges, each with a charge of +1 Coulomb and separated by a distance of 1 meter, attract or repel?
- How was Coulomb's law discover?
- Two charges of # 2 C # and # 4 C# are positioned on a line at points # -3 # and # -2 #, respectively. What is the net force on a charge of # 3 C# at # 1 #?

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