Answer:
a) a = 1 [m/s²]
b) a = 0.25 [m/s²]
Step-by-step explanation:
To solve this problem we must use the following equation of kinematics.
a)
Between 0 and 2 seconds
where:
Vf = final velocity = 2 [m/s]
Vo = initial velocity = 0
a = acceleration [m/s²]
t = time = 2 [s]
Note: the positive sign of acceleration in the previous equation allows us to appreciate that the velocity is increasing
2 = 0 + a*2
a = 2/2
a = 1 [m/s²]
b)
Between 2 and 4 seconds
where:
Vf = final velocity = 2.5 [m/s]
Vo = initial velocity = 2
a = acceleration [m/s²]
t = time = (4 - 2) = 2 [s]
2.5 = 2 + a*2
2.5 - 2 = 2*a
0.5 = 2*a
a = 0.25 [m/s²]