# An electric toy car with a mass of #4 kg# is powered by a motor with a voltage of #4 V# and a current supply of #2 A#. How long will it take for the toy car to accelerate from rest to #7/2 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 calculate the time it takes for the toy car to accelerate from rest to ( \frac{7}{2} ) m/s, you can use the equation ( t = \frac{m \cdot v}{F} ), where ( t ) is the time, ( m ) is the mass of the car, ( v ) is the final velocity, and ( F ) is the force acting on the car. First, calculate the force using ( F = m \cdot a ), where ( a ) is the acceleration. Then, use ( a = \frac{F}{m} ) to find the acceleration. Finally, use the formula ( v = u + at ), where ( u ) is the initial velocity (0 m/s). Rearrange this equation to solve for ( t ).

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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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