# Two moving objects; 1D; constant

• burton95
In summary, the problem involves two objects, A and B, with initial positions on the x-axis and different velocities and accelerations. The goal is to find the time (in seconds) when the positions of A and B are equal. The attempted solution involved setting up the problem using the equation r = r0 + vt - a(t^2/2), but it did not yield a reasonable answer. A suggestion was made to change the sign of the at^2/2 term, but it did not lead to a correct solution.
burton95

## Homework Statement

2 objects A and B.
A has a 4000 m. head start on x-axis heading to the right
Va = 50 m/s;
Vb = 55 m/s
aa = 0.5 m/s2
ab = 1.0 m/s2

need to know t in s when xa = xb

## Homework Equations

r = r0+vt-a(t2/2)

## The Attempt at a Solution

I set each up for xa,b in said equation and set them equal to each other.
I plugged and chugged to a quadratic equation and ended up with a horrible answer of 140.04 seconds which makes no sense and then the other answer was negative

burton95 said:

## Homework Equations

r = r0+vt-a(t2/2)

I don't think that equation's relevant! (It represents the height of something tossed straight up at initial height r0 with initial velocity v if a = g = 9.81 m/s^2.)

Try to change the sign of the at^2/2 term?

Yeah so close...but yet so far. Thanks

## 1. What does it mean for two objects to be moving in 1D?

In physics, 1D refers to one-dimensional motion, which means that the two objects are moving along a straight line in the same direction.

## 2. How can we determine the speed of each object in 1D motion?

The speed of an object in 1D motion can be determined by dividing the distance traveled by the time it took to travel that distance. This is known as average speed.

## 3. What is the difference between speed and velocity in 1D motion?

Speed is a scalar quantity that measures the rate of change of distance, while velocity is a vector quantity that measures the rate of change of displacement. Velocity takes into account the direction of motion, while speed does not.

## 4. Can two objects have the same speed but different velocities in 1D motion?

Yes, two objects can have the same speed but different velocities in 1D motion if they are moving in different directions. For example, if one object is moving east at a speed of 10 m/s and another object is moving west at a speed of 10 m/s, their velocities are different but their speeds are the same.

## 5. How do we calculate the acceleration of two objects in 1D motion?

The acceleration of an object in 1D motion can be calculated by dividing the change in velocity by the change in time. This is known as average acceleration.

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