Constant acceleration velocity and displacement

In summary, a car with a constant acceleration of 2.2 m/s2 starts at the same time a truck with a constant speed of 8.6 m/s overtakes and passes it. The question asks for the distance and speed of the car when its displacement is equal to that of the truck. The solution involves finding the time when the displacements are equal and using that to calculate the distance and speed of the car.
  • #1
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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  • #2
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
 

FAQ: Constant acceleration velocity and displacement

What is constant acceleration?

Constant acceleration is when an object's velocity changes at a constant rate over time. This means that the object is either speeding up or slowing down at a steady pace.

How is velocity related to acceleration?

Velocity is the rate at which an object's position changes over time. Acceleration is the rate at which an object's velocity changes over time. This means that acceleration is directly related to velocity, as it determines how quickly an object's velocity is changing.

What is the formula for constant acceleration?

The formula for constant acceleration is a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time. This formula can be used to calculate the acceleration of an object when its initial and final velocities are known.

How is displacement affected by constant acceleration?

Displacement is the change in an object's position, and it is directly affected by constant acceleration. When an object is subjected to constant acceleration, its displacement will increase or decrease depending on the direction of the acceleration.

Can constant acceleration be negative?

Yes, constant acceleration can be negative. Negative acceleration, also known as deceleration, occurs when an object's velocity decreases over time. This can happen when the object is slowing down or changing direction.

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