Mechanics- general motion in a straight line.

In summary, the conversation included calculating q(a)=1s and q(b)=7cm, as well as solving a problem involving a ball bearing being fired through a tub of butter and finding the time and distance traveled at different points. The question of how to calculate q(c) was also raised, and the solution involved solving an integral equation.
  • #1
Shah 72
MHB
274
0
20210608_181630.jpg

I calculated q(a)=1s
q(b)=7cm
I don't understand q(c)
 
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  • #2
Fix the image to make it readable or type out the problem statement yourself.
 
  • #3
skeeter said:
Fix the image to make it readable or type out the problem statement yourself.
Apologies.
A ball bearing is fired vertically upwards in a straight line through a tub of butter. The upward velocity of the ball bearing is given by v=13-10t-3t^2 cm/s, where t is the time from when it was fired upwards.
a) Find the time when the ball bearing comes momentarily to rest
b) Find how far the ball bearing has traveled upwards at this time

The ball bearing then falls downwards through the hole it has made in the butter. The downward velocity of the ball bearing is given by v= 10T cm/s, where T is the time from when it was momentarily at rest.
C) Find the time that the ball bearing takes ( from when it was momentarily at rest) to fall to its original position.
Iam not understand how to calculate (c)
 
  • #4
$\displaystyle \int_0^t 10T \, dT = 7$

solve for $t$
 
  • #5
skeeter said:
$\displaystyle \int_0^t 10T \, dT = 7$

solve for $t$
Thank you very much!
 

FAQ: Mechanics- general motion in a straight line.

What is mechanics?

Mechanics is a branch of physics that deals with the behavior of physical bodies when subjected to forces or displacements.

What is general motion in a straight line?

General motion in a straight line refers to the movement of an object along a straight path, without any change in direction.

What are the basic principles of mechanics?

The basic principles of mechanics include Newton's laws of motion, conservation of energy, and conservation of momentum.

How is motion described in mechanics?

Motion in mechanics is described using quantities such as displacement, velocity, acceleration, and time.

What are some real-life applications of mechanics?

Mechanics has various real-life applications, including designing and building structures, predicting the motion of objects, and understanding the behavior of fluids and gases.

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