# 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 #6 A#. How long will it take for the toy car to accelerate from rest to #6 m/s#?

##### 1 Answer

Mar 20, 2016

#### Explanation:

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

#P = IV#

#= (8 "V") * (6 "A")#

#= 48 "W"#

The change in kinetic energy for the car is

#Delta "KE" = 1/2 m (v^2 - v_0^2)#

#= 1/2 (2 "kg") ((6 "m/s")^2 - (0 "m/s")^2)#

#= 36 "J"#

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

#t = frac{Delta "KE"}{P}#

#= frac{36 "J"}{48 "W"}#

#= 0.75 "s"#