# Accelerated Linear Motion

• mcintyre_ie

#### mcintyre_ie

If anybody could offer any help with this id be eternally gratefull

Two cars A and B, each 5m in length, travel with constant velocity 20 m/s along a straight level road. The front of car A is 15m directly behind the rear of car B. Immediately on reaching a point P, each car decelerates at 4m/s^2.
1) Show that A collides with B
2) At what distance from P does the collision occur?
3) Show the motion of both cars on the same speed-time graph.

The cars will collide at the point where they stop (B stops first and A stops at the same point). I'll leave the rest as an exercise in elementary calculus.

## 1. What is Accelerated Linear Motion?

Accelerated linear motion is the motion of an object in a straight line with a changing velocity. This means that the object is either speeding up or slowing down as it moves.

## 2. How is Accelerated Linear Motion different from Constant Linear Motion?

Constant linear motion is when an object moves in a straight line with a constant velocity, meaning it does not speed up or slow down. Accelerated linear motion, on the other hand, involves a changing velocity and can be caused by a force acting on the object.

## 3. What causes Accelerated Linear Motion?

There are several factors that can cause accelerated linear motion, including a force acting on the object, a change in direction, or a change in the mass of the object.

## 4. How is Accelerated Linear Motion measured?

The rate of acceleration in linear motion can be measured using the equation a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

## 5. What real-life examples demonstrate Accelerated Linear Motion?

Some examples of accelerated linear motion in everyday life include a car accelerating from a stop, a roller coaster going down a steep hill, and a ball rolling down a hill. These all involve a change in velocity and are therefore considered accelerated linear motion.