Constant acceleration
Basic Equations
Notation |
Derivation |
Dimensional Analysis |
Derived Equations
Derivation from Eqs. (1) and (2) |
Dimensional Analysis |
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-x_{0}
v
v_{0}
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-x_{0} | |
v | |
t | |
a | |
v_{0} |
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. t^{3}
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/sec^{2}.
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?