help me please

Question

A boat, initially traveling at 9.3 m/s away from the shore, needs to come to an abrupt stop to avoid impacting a wave rider that crossed its path. The maximum deceleration rate of the boat is 2.7 m/s2. How long, in seconds, will it take the boat to come to a complete stop?

Answer 1

v₀ = initial speed = 9.3 m/s

 

a = acceleration = -2.7 m/s²  [negative sign since it is decelerating]

 

v(t) = v₀ + at

 

Set v(t) equal to zero (full stop) and solve for t.

 

9.3 - 2.7t = 0

 

Solve for t and finish from here.  The answer will be in seconds.