# An electric toy car with a mass of #3 kg# is powered by a motor with a voltage of #9 V# and a current supply of #5 A#. How long will it take for the toy car to accelerate from rest to #2/7 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, use the equation: ( t = \frac{mv}{F} ), where ( t ) is the time, ( m ) is the mass of the car, ( v ) is the final velocity, and ( F ) is the net force acting on the car. Given that the voltage is 9 V and the current supply is 5 A, calculate the power using the formula ( P = IV ). Then, use the power formula ( P = Fv ) to find the force. Finally, plug the values into the first equation to find the time.

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