An electric toy car with a mass of #2 kg# is powered by a motor with a voltage of #5 V# and a current supply of #3 A#. How long will it take for the toy car to accelerate from rest to #8/3 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{8}{3} ) m/s, you can use the formula: [ t = \frac{m \cdot v}{F} ] Where: ( t ) = time (s) ( m ) = mass of the toy car (kg) ( v ) = final velocity (m/s) ( F ) = force applied (N) First, calculate the force applied using the equation: [ F = I \cdot V ] Where: ( I ) = current (A) ( V ) = voltage (V) Then, use the force applied to find the time: [ t = \frac{m \cdot v}{F} ]
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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.
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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