Which car has the greater acceleration magnitude: car A that accelerates from 0 to 10 m/s in 50 m or car B that accelerates from 10 m/s to 20 m/s in 50 m

Respuesta :

The car that has the greater acceleration magnitude is car B

Torricelli's theorem can be used to calculate the magnitude of an object's acceleration when the value of time is not known:

                                            [tex]v^{2} = v_{0}^{2} + 2a\Delta S[/tex]

Note that [tex]v\\[/tex] is the final velocity value, [tex]v_{0}[/tex] is the initial velocity value, [tex]a[/tex] is the acceleration value, and [tex]\Delta S[/tex] is the displacement.

Substituting the values ​​given by the question in the formula, we have:

  1. CAR A

                                           [tex]10^{2}= 0^{2}+2\times a \times 50[/tex]

                                                    [tex]100 = 100a[/tex]

                                                     [tex]a = 1m/s^{2}[/tex]

    2. CAR B

                                               [tex]20^{2} = 10^{2} + 2\times a \times 50[/tex]

                                                   [tex]400 = 100 + 100a[/tex]

                                                        [tex]100a=300[/tex]

                                                         [tex]a = 3m/s^{2}[/tex]

So, comparing the two acceleration calculated above,  it is assumed that the car has the greater acceleration magnitude is car B with [tex]3m/s^{2}[/tex]  comparing to [tex]1m/s^{2}[/tex]  of the car A.

Learn more about acceleration magnitude in: brainly.com/question/11273796