Question

this velocity-time graph depicts the motion of an object. use the graph to determine the acceleration (in m/s/s) of the object. if negative, then enter a negative answer. enter your answer accurate to the second decimal place.

Explanation:

Step1: Define acceleration formula

La aceleración es el cambio de velocidad entre el cambio de tiempo:
$$a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{t_f - t_i}$$

Step2: Identify graph values

Tomamos los puntos inicial y final: $v_i = 25.0 \, \text{m/s}$, $t_i = 0.0 \, \text{s}$; $v_f = -10.0 \, \text{m/s}$, $t_f = 8.0 \, \text{s}$

Step3: Substitute values into formula

$$a = \frac{-10.0 - 25.0}{8.0 - 0.0} = \frac{-35.0}{8.0}$$

Step4: Calculate final value

$$a = -4.375$$
Redondeamos a dos decimales: $a = -4.38$

Answer:

-4.38