The initial and final velocities of two blocks experiencing constant acceleration are respectively −7.45 m/s and 14.9 m/s. (a) The first object has displacement 22.5 m. Find its acceleration (in m/s2). (Indicate the direction with the sign of your answer.) 1 3.7 Correct: Your answer is correct. m/s2 (b) The second object travels a total distance of 22.6 m. Find its acceleration (in m/s2). (Indicate the direction with the sign of your answ

Respuesta :

Answer:

a) [tex]a_{1}=3.7 m/s^{2}[/tex]

b) [tex]a_{2}=3.68 m/s^{2}[/tex]

Explanation:

a) The displacement of the first object is 22.5 m, so we can use the next equation:

[tex]v_{f}^{2}=v_{i}^{2}+2a\Delta x[/tex]

[tex]a=\frac{v_{f}^{2}-v_{i}^{2}}{2x}[/tex]

[tex]a=\frac{14.9^{2}-(-7.45)^{2}}{2*22.5}[/tex]

[tex]a_{1}=3.7 m/s^{2}[/tex]

positive acceleration.

b) Using the same equation we can find the second value of the acceleration:

[tex]a=\frac{v_{f}^{2}-v_{i}^{2}}{2x}[/tex]

[tex]a=\frac{14.9^{2}-(-7.45)^{2}}{2*22.6}[/tex]

[tex]a_{2}=3.68 m/s^{2}[/tex]

positive acceleration.

I hope it helps you!