Answered

A section of road is so designed that cars entering it
at 10 m.s can accelerate at 5 m.s² for 4 s before
going on to a freeway. What should the length of the
section of road be?
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Answer :

MathPhys

Answer:

80 m

Explanation:

The cars move at constant acceleration, so the motion can be modeled with kinematic equations also known as SUVAT equations. In this case, we will use the equation:

s = ut + ½ at²

where

  • s is the displacement
  • u is the initial velocity
  • a is the acceleration
  • t is the time

s = ut + ½ at²

s = (10 m/s) (4 s) + ½ (5 m/s²) (4 s)²

s = 80 m