Basic Rectilllinear Motion questions

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In summary, the conversation discusses the calculation of height reached when an object is thrown into the air and the use of equations such as mgh = 0.5*mv2 and v2 = u2 + 2as. It is clarified that the force given by the thrower is irrelevant once the object leaves the hand and that the energy equation assumes constant acceleration. The conversation also confirms that the velocity of the ball at the top of its flight is zero due to the constant acceleration of gravity.
  • #1
jsmith613
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this might sound like such an ammateur question but I just wanted to clarify it:

When an object is thrown into the air we can work out the height reached from
mgh = 0.5*mv2 (v = initial velocity)

we cannot use v = u + 2as as the acceleration is not constant (the force given by the thrower and gravity are working in different directions)

So far is this correct?

At the top of the balls flight its speed is zero
This is the big question. I am almost 100% sure this is the case because this the direction of velocity and resultant acceleration do not have to be in the same direction...therefore the only reason the ball would fall is if its final velocity (before falling) is zero

is this correct too?
 
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  • #2
jsmith613 said:
When an object is thrown into the air we can work out the height reached from
mgh = 0.5*mv2 (v = initial velocity)
Sure, as long as you throw it straight up.

we cannot use v = u + 2as as the acceleration is not constant (the force given by the thrower and gravity are working in different directions)
I think you mean v2 = u2 + 2as. Sure you can use it. The force given by the thrower is irrelevant once it leaves the hand--all you care about is the velocity after it leaves the hand.

Note that the energy equation above also assumes constant acceleration--that gravity is the only force acting as it rises.

So far is this correct?
See my comments above.

At the top of the balls flight its speed is zero
This is the big question. I am almost 100% sure this is the case because this the direction of velocity and resultant acceleration do not have to be in the same direction...therefore the only reason the ball would fall is if its final velocity (before falling) is zero

is this correct too?
Well, it's certainly true that a ball thrown straight up will have its velocity go from up, to zero at the top, then down. The acceleration is constant and always points down.
 
  • #3
Doc Al said:
Sure, as long as you throw it straight up.


I think you mean v2 = u2 + 2as. Sure you can use it. The force given by the thrower is irrelevant once it leaves the hand--all you care about is the velocity after it leaves the hand.

Note that the energy equation above also assumes constant acceleration--that gravity is the only force acting as it rises.


See my comments above.


Well, it's certainly true that a ball thrown straight up will have its velocity go from up, to zero at the top, then down. The acceleration is constant and always points down.

thanks so much for this :) it has been good revision!
 

FAQ: Basic Rectilllinear Motion questions

What is basic rectilinear motion?

Basic rectilinear motion is a type of motion where an object moves in a straight line with constant speed. This type of motion can be described using the equations of motion, such as displacement, velocity, and acceleration.

What is the difference between velocity and speed in basic rectilinear motion?

Velocity is a vector quantity that includes both magnitude and direction, while speed is a scalar quantity that only indicates the magnitude of motion. In basic rectilinear motion, velocity and speed are equal when the motion is in a straight line.

How is acceleration calculated in basic rectilinear motion?

Acceleration in basic rectilinear motion is calculated as the change in velocity over the change in time. This can be represented by the equation a = (v2 - v1)/t, where v2 is the final velocity, v1 is the initial velocity, and t is the time interval.

What is the difference between displacement and distance in basic rectilinear motion?

Displacement is a vector quantity that represents the straight-line distance and direction between an object's initial and final positions. Distance, on the other hand, is a scalar quantity that indicates the total length traveled by an object, regardless of direction.

How does basic rectilinear motion relate to Newton's laws of motion?

Basic rectilinear motion is closely related to Newton's laws of motion, particularly the first law, also known as the law of inertia. This law states that an object will remain in a state of rest or constant velocity unless acted upon by an external force. In basic rectilinear motion, an object will continue to move in a straight line with constant speed unless a force is applied to change its motion.

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