# 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#?

QuestionAnswer 1

#P = IV#

#= (9 "V") * (5 "A")#

#= 45 "W"#

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

#= 1/2 (3 "kg") ((2/7 "m/s")^2 - (0 "m/s")^2)#

#= 0.122 "J"#

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

#= frac{0.122 "J"}{45 "W"}#

#= 0.00272 "s"#

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Answer 2

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