contestada

A car is moving at a constant speed of 14 m/s when the driver presses down on the gas pedal and accelerates for 14 s with an acceleration of 1.8 m/s 2 . what is the average speed of the car during the period?

Respuesta :

acceleration of car is 1.8 m/s^2

time = 14 s

initial speed = 14 m/s

so the final speed is calculated by

[tex]v_f = v_i + at[/tex]

[tex]v_f = 14 + 14 * 1.8[/tex]

[tex]v_f = 39.2 m/s[/tex]

so the total distance moved in this interval of time is

[tex]d = \frac{v_f + v_i}{2}* t[/tex]

[tex]d = \frac{39.2 + 14}{2}* 14[/tex]

[tex]d = 372.4 m[/tex]

now the average speed is given as

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{372.4}{14}[/tex]

[tex]v = 26.6 m/s[/tex]

so the average speed will be 26.6 m/s

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