A car with an initial speed of 4.30 m/s accelerates
uniformly at the rate of 3.00 m/s2. What is the car's speed
after 5.00 s? How far did it travel in that time?

Respuesta :

Heya!!

For calculate final velocity, lets applicate formula

                                                [tex]\boxed{V=V_o+a*t}[/tex]

                                                 Δ   Being   Δ

                                            V = Final Velocity = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

[tex]\boxed{V=4,3\ m/s +3\ m/s* 5\ s}[/tex]

⇒ Resolving

[tex]\boxed{V=19,3\ m/s}[/tex]

Result:

The velocity after 5 sec is 19,3 meters per second (m/s)

For calculate distance, lets applicate formula

                                              [tex]\boxed{x=V_o*t+\dfrac{a*t^{2}}{2}}}[/tex]

                                                 Δ   Being   Δ

                                               x = Distance = ?

                                         Vo = Initial velocity = 4,3 m/s

                                          a = Aceleration = 3 m/s²

                                                 t = Time =5 s

⇒ Let's replace according the formula:

[tex]\boxed{x=4,3 * 5 +\dfrac{3*5^{2}}{2}}}[/tex]

⇒ Resolving

[tex]\boxed{x = 59 \ m}[/tex]

Result:

The distance is 59 meters.

Good Luck!!