Answer:
The acceleration of the object is [tex]-30\ m/s^2[/tex]
Explanation:
Given:
Initial velocity of object [tex]v_i[/tex] = 200 feet/second
Final velocity of object [tex]v_f[/tex] = 50 feet/second
Time of travel = 5 seconds
To calculate acceleration of the object we will find the rate of change of velocity with respect to time.
So, acceleration [tex]a[/tex] is given by:
[tex]a=\frac{v_f-v_i}{t}[/tex]
where [tex]v_f[/tex] represents final velocity, [tex]v_i[/tex] represents initial velocity and [tex]t[/tex] is time of travel.
Plugging in values to evaluate acceleration.
[tex]a=\frac{50-200}{5}[/tex]
[tex]a=\frac{-150}{5}[/tex]
[tex]a=-30\ m/s^2[/tex]
The acceleration of the object is [tex]-30\ m/s^2[/tex] (Answer). The negative sign shows the object is slowing down.
