Constant acceleration

Basic Equations

 Notation Derivation Dimensional Analysis

Derived Equations

Equations (1), (2) and (3) will be given in the exam formula sheet.  You do not need to master their derivations.  Equations (4) and (5) may or may not be given in the formula sheet, but their derivations are easy.

Problem-Solving Tactics

Five quantities can possibly be involved in any problem regarding constant acceleration, namely
x-x0
v
v0
a
t

Usually one of these quantities is not involved in the problem, either as a given or as an unknown.  You are then presented with three of the remaining quantities and asked to find the fourth.

 Equation Missing Quantity x-x0 v t a v0

Question:
For a particle moving on a straight line with a constant acceleration, using Equation (1) and (2) show that

Question:
If a particle traces the following curve
x(t) = 30. + 15. t + 10. t3
can you use Eqs. (1) to (5) to describe the motion of this particle?

Question:
You increases your car velocity from 20 km/h to 140 km/h in 20 sec.  Suppose your acceleration is constant, what is your acceleration?

Question:
At the instance the traffic light turns green, an car starts with constant acceleration a of 2. m/sec2. At the same instant a truck, traveling with constant speed of 100 km/h , over takes and passes the car. How far beyond the traffic signal will the car overtake the track?