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 during the first 6.0 seconds. if negative, then enter a negative answer. enter your answer accurate to the second decimal place.

Explanation:

Step1: Identify 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: Read values from the graph

Para $t_i=0.0\ \text{s}$, $v_i=0.0\ \text{m/s}$; para $t_f=6.0\ \text{s}$, $v_f=24.0\ \text{m/s}$

Step3: Calculate acceleration

Sustituir los valores en la fórmula:
$a = \frac{24.0\ \text{m/s} - 0.0\ \text{m/s}}{6.0\ \text{s} - 0.0\ \text{s}} = \frac{24.0}{6.0}\ \text{m/s}^2$

Answer:

4.00