A black mamba snake has a length of 4.3 m and a top speed of 8.9 m/s! Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates at 20 m/s2 from rest.

Question

A black mamba snake has a length of 4.3 m and a top speed of 8.9 m/s! Suppose a mongoose and a black mamba find themselves nose to nose. In an effort to escape, the snake accelerates at 20 m/s2 from rest.
(a) How much time does it take for the snake to reach its top speed?
(b) How far does the snake travel in that time?(c) How much reaction time does the mongoose have before the tail of the mamba snake passes by?

javad · Accepted Answer

2.30

Henry · Answer

a. V = a*t = 8.9 m/s. 20*t = 8.9. t = 0.445 s. b. d = 0.5a*t^2. c. d = 0.5a*t^2. d = 4.3 m. a = 20 m/s^2. Solve for t.