Black Mamba v Mongoose Problem

Question

A black mamba snake has a length of 2.67 m and a top speed of 3.80 m/s. Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates at 4.73 m/s2 from rest. 

How much time does it take the snake to reach its top speed?

How far does the snake travel in that time?

Answer 1

Jesus, this is just a simple application of the laws of motion.

We know the snake's initial speed (zero) and its final speed (3.80 m/s). Also, its acceleration is 4.73 m/s² 

The relevant equation is: v = v₀ + at

3.80 = 0 + 4.73t

Solve for t. I leave this as an exercise for you.

The snake's length is irrelevant!