Mechanics- general motion in a straight line

In summary, speed and velocity are different measures of an object's motion, with velocity also taking into account direction. Acceleration is calculated by dividing the change in velocity by the time it takes for that change to occur. Uniform motion is when an object moves at a constant speed in a straight line, while non-uniform motion involves changes in speed or direction. Displacement can be calculated by subtracting the initial position from the final position. Newton's First Law of Motion states that objects will remain at rest or in motion unless acted upon by an external force, and this law is important in understanding mechanics.
  • #1
Shah 72
MHB
274
0
20210604_165903.jpg

I don't know how to calculate this. Pls help
 
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  • #2
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
 
  • #3
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
Yeah so ds/dt=8t-3sqroot(2t)/2
 
  • #4
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
I have tried doing this so ds/dt=v
13= 8t-3sqroot (2t)/2
 
  • #5
skeeter said:
$s = 4t^2 - \sqrt{2t^3}$

have you learned any calculus, specifically derivatives?
So I get quadratic equation. I got t=2s. Thank you very much!
 

FAQ: Mechanics- general motion in a straight line

1. What is the definition of "mechanics" in physics?

Mechanics is a branch of physics that deals with the study of motion and the forces that cause it.

2. How is motion in a straight line described in mechanics?

Motion in a straight line is described using the concepts of distance, displacement, speed, velocity, and acceleration.

3. What is the difference between distance and displacement?

Distance is the total length traveled by an object, while displacement is the shortest distance between the starting point and the ending point of the object's motion.

4. What is the difference between speed and velocity?

Speed is the rate at which an object covers distance, while velocity is the rate at which an object changes its position in a specific direction.

5. How is acceleration calculated in mechanics?

Acceleration is calculated by dividing the change in velocity by the change in time, or by taking the derivative of the velocity-time graph.

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