A car accelerates at a constant rate from zero to 33.7 m/s in 10 seconds and then slows to 17.6 m/s in 5 seconds. What is its average acceleration to the nearest tenth of a m/s2 during the 15 seconds?

Respuesta :

Answer:

[tex]a_{avg} = 1.17 m/s^{2}[/tex]

Given:

initial velocity, u = 0

final velocity, v = 33.7 m/s

t = 10 s

final velocity, v' = 17.6 m/s

t' = 5 s

Total time, T = 10 + 5 = 15 s

Solution:

The rate of change of velocity of an object is referred to as the acceleration of that object.

Average accelaeration, [tex]a_{avg} = \frac{\Deta v}{\Delta t}[/tex]

Now,

Initial acceleration of the body, [tex]a = \frac{v - u}{t}[/tex]

[tex]a = \frac{33.7 - 0}{10} = 3.37 m/s^{2}[/tex]

Now, average acceleration during the 15 seconds:

[tex]a = \frac{v' - u}{T}[/tex]

[tex]a = \frac{17.6 - 0}{15} = 1.17 m/s^{2}[/tex]