# Position of an object in time and force

• preluderacer
In summary, the position of an object as a function of time is given by x = bt^3 ihat + ct jhat. To find the force on a 2.0kg object when t=1.8s, we first find the second derivative of x with respect to time. Then, using the equation F=ma, we can calculate the force on the object.
preluderacer

## Homework Statement

The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If and , what is the force on a 2.0 kg object when t = 1.8 s?

## The Attempt at a Solution

I tried multiplying it and got m ihat + m jhat. I don't even know where to begin.

If and , what is the force on a 2.0 kg object when t = 1.8 s?

This statement is not clear. Rewrite it.

The position of an object as a function of time is given by = bt^3 ihat + ct jhat . If b=2.1m/s^3 and c=1.7m/s, what is the force on a 2.0kg object when t=1.8s

Let x = bt^3 ihat + ct jhat
Find a = d^2(x)/dt^2 and substitute t = 1.8 s
Now find F.

so x=(bt^3ihat +ct)?

then u want me to find the derivative?

Ha, I went to get breakfast and kept thinking about it. It goes position, velocity, then acceleration. So I take the 2nd derivative with respect to time, then use f=ma. Thanks you! =)

## 1. What is the relationship between position, time, and force?

Position, time, and force are all interconnected when studying the movement of an object. The position of an object is its location in space, while time is the duration of its movement. Force is what causes the object to move or change its position. The relationship between these three quantities can be described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass.

## 2. How can we measure the position of an object in time?

The position of an object in time can be measured using various tools such as a ruler, tape measure, or even GPS technology. By taking measurements at different intervals, we can track the movement of an object and determine its position at specific points in time. This data can then be used to create a graph of the object's position over time, allowing us to analyze its movement.

## 3. How does the force acting on an object affect its position in time?

The force acting on an object directly influences its position in time. If an object experiences a greater force, it will accelerate and change its position at a faster rate. On the other hand, a smaller force will result in slower or no movement. Additionally, the direction of the force will also impact the object's position, as it can cause the object to move in a specific direction or change its direction of motion.

## 4. How do Newton's laws of motion relate to the position of an object in time and force?

Newton's laws of motion are fundamental principles that describe the relationship between an object's motion and the forces acting upon it. The first law states that an object will remain at rest or in motion with constant velocity unless acted upon by an external force. The second law relates the acceleration of an object to the net force acting on it. Lastly, the third law states that for every action, there is an equal and opposite reaction. These laws play a crucial role in understanding the position of an object in time and force.

## 5. How is the position of an object in time and force used in real-world applications?

The study of an object's position in time and force has many real-world applications. It is essential in fields such as engineering, physics, and sports science. Engineers use this knowledge to design structures and machines that can withstand and utilize different forces. Physicists use it to study the movement of celestial bodies and predict their position in the future. In sports science, understanding the position of an athlete in time and force can help improve their performance and prevent injuries.

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