Constant acceleration velocity and displacement

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SUMMARY

The discussion centers on a physics problem involving constant acceleration and velocity. An automobile accelerates at 2.2 m/s² from rest, while a truck travels at a constant speed of 8.6 m/s. The objective is to determine the distance at which the automobile overtakes the truck and its speed at that moment. The solution involves equating the displacement equations for both vehicles and solving for time and distance.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Knowledge of displacement and velocity concepts
  • Ability to solve quadratic equations
  • Familiarity with basic algebraic manipulation
NEXT STEPS
  • Study kinematic equations in detail, focusing on displacement and velocity
  • Learn how to derive and solve equations of motion for objects under constant acceleration
  • Explore graphical representations of motion to visualize displacement and velocity
  • Practice similar physics problems involving relative motion and acceleration
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of constant acceleration problems.

libertyforall
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Homework Statement



At the instant the traffic light turns green, an automobile starts with a constant acceleration a of 2.2 m/s2. At the same instant a truck, traveling with a constant speed of 8.6 m/s, overtakes and passes the automobile.
(a) How far beyond the traffic signal will the automobile overtake the truck?
m
(b) How fast will the car be traveling at that instant? m/s


The Attempt at a Solution



Not exactly sure how to go about this problem.
 
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At the instant the traffic light turns to green, the truck and the car are at the "same spot" beside each other on the road. The truck moves at constant velocity, the car starts from rest and moves with constant acceleration. Write their displacement as function of time and find the time when the displacements are equal, and give both the displacement and the speed of the car at that instant.

ehild
 

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