To determine the acceleration of the object, we can use the kinematic equation that relates displacement (s), initial velocity (u), acceleration (a), and time (t):
s = ut + (1/2)at^2
In this case, the initial velocity (u) is 0 since the object starts from rest. The displacement (s) is given as 7m, and the time (t) is given as 4 seconds. Plugging these values into the equation, we can solve for the acceleration (a):
7 = 0 + (1/2)a(4^2) 7 = 8a
Dividing both sides of the equation by 8:
a = 7/8 a = 0.875 m/s^2
Therefore, the acceleration of the object is 0.875 m/s^2.