Answer:
v = -80 m/s
Explanation:
Given,
The initial time of a body, t = 0
The final time of the body, t =20 s
The displacement function of the body is given by the relation,
X(t) = 20 - 4t²
Therefore, the velocity function is by differentiating the above equation with respect to the function 't'
X'(t) = -8t²
Then,
1) t = 0 s
X'(0) = -8(0)²
= 0 m/s
2) t = 20 s
X'(20) = -8(20)²
= -160 m/s
The average velocity is given by averaging the initial and final velocity,
V = -160/2
= -80 m/s
Hence, the average velocity of the given function is, v = -80 m/s
