Answer:
[tex]\boxed {\boxed {\sf a= -7 \ m/s^2}}[/tex]
Explanation:
Acceleration is the change in velocity over time.
[tex]a= \frac {v_f-v_i}{t}[/tex]
The object accelerates from 45 meters per second to 10 meters per second in 5 seconds. Therefore,
[tex]v_f=10 \ m/s \\v_i= 45 \ m/s \\t= 5 \ s[/tex]
Substitute the values into the formula.
[tex]a= \frac{ 10 \ m/s - 45 \ m/s}{5 \ s}[/tex]
Solve the numerator.
[tex]a= \frac { -35 \ m/s}{5 \ s}[/tex]
Divide.
[tex]a= -7 \ m/s/s[/tex]
[tex]a= -7 \ m/s^2[/tex]
The acceleration of the object is -7 meters per square second. The acceleration is negative because the object's velocity decreases and the object slows down.
