Is Acceleration Affected by Direction and Speed Changes?

AI Thread Summary
Acceleration due to gravity remains constant at approximately 9.81 m/s² throughout a ball's flight, meaning just before reaching its highest point, the acceleration is not higher than g. When comparing two balls thrown from the same height, one upward and one downward, they will indeed have the same speed upon reaching the ground due to equal gravitational acceleration. A calculation for a car accelerating from 60 km/h to 90 km/h at 2.0 m/s² initially yielded 15 seconds, but the user later realized a unit conversion error. Proper unit conversion is essential for accurate calculations, as mixing kilometers per hour with meters per second can lead to incorrect results. Understanding the forces acting on objects in motion is crucial for accurate physics problem-solving.
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Here's my last string of questions... for the week at least! :) Thank you all so much for your help.

If we throw a ball up, is its acceleration just before it reaches its highest point slightly higher than g? This would make sense to me, because if it was at g or lower, it would be ready to fall back down, or would be falling down...

If a ball is thrown up and another is thrown down, when they reach the ground, do they both have the same speed? Also, this would make sense to me, because they are both exposed to gravity.

A car traveling at 60 km/h accelerates at 2.0 m/s^2. How much time is required for the car to reach a speed of 90 km/h?
I calculated 15 seconds for that... It makes sense to me, but we never know...

Thanks!
 
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future_vet said:
Here's my last string of questions... for the week at least! :) Thank you all so much for your help.

If we throw a ball up, is its acceleration just before it reaches its highest point slightly higher than g? This would make sense to me, because if it was at g or lower, it would be ready to fall back down, or would be falling down...
I wouldn't agree with this. Neglecting air resistance, what forces are acting on the ball when it is in flight? Thus, what is the acceleration of the ball?

If a ball is thrown up and another is thrown down, when they reach the ground, do they both have the same speed? Also, this would make sense to me, because they are both exposed to gravity.
If they're thrown from the same point then, yes.
A car traveling at 60 km/h accelerates at 2.0 m/s^2. How much time is required for the car to reach a speed of 90 km/h?
I calculated 15 seconds for that... It makes sense to me, but we never know...

How did you calculate it? I can't check you're right if I can't see what you've done! :smile:
 
cristo said:
I wouldn't agree with this. Neglecting air resistance, what forces are acting on the ball when it is in flight? Thus, what is the acceleration of the ball?

The forces acting on the ball in flight would be gravity?
The acceleration of the ball would be 0?
 
future_vet said:
The forces acting on the ball in flight would be gravity?
Correct, and the graviational force is equal at all points during the ball's flight.
The acceleration of the ball would be 0?

Where did this conclusion come from? (Huge hint: what is the acceleration due to gravity?)
 
cristo said:
How did you calculate it? I can't check you're right if I can't see what you've done! :smile:

Ah oops, here it is:
2.0 m/s^2 = (90 000 - 60 000 m/h)/t
t= 30 000/2

And... I can't figure out how I got my answer then... Maybe I forgot about the km vs meters...

...
 
future_vet said:
Ah oops, here it is:
2.0 m/s^2 = (90 000 - 60 000 m/h)/t

Your units here are incorrect. Your conversion to metres was correct, but on the left you have seconds, and on the right you have hours. You need to convert the expressions on the right to m/s before you can calculate t.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
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