Linear Motion: 0.525kg Ball Travels 200m in 10s

In summary, a 0.525kg ball starts from rest and rolls down a hill with uniform acceleration, traveling 200m during the second 10.0 s of its motion. Using the equations xf= xi + vi +1/2a(t)^2 and x= vi + at, the acceleration is found to be 4 m/s^2 and the distance traveled during the first 5 seconds is 50 m. However, when trying to solve for the distance after the first 5 seconds, there seems to be confusion about the units and the correct value for the distance. More information is needed to accurately solve for this distance.
  • #1
revults
10
0

Homework Statement



A 0.525kg ball starts from rest and rolls down a hill with uniform acceleration, traveling 200m during the second 10.0 s of its motion.

Homework Equations



xf= xi + vi +1/2a(t)^2
x= vi + at

The Attempt at a Solution



a= 4 m/s^2

x=50 mits wrong
 
Last edited:
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  • #2
A 0.525kg ball starts from rest and rolls down a hill with uniform acceleration, traveling 200m during the second 10.0 \rm s of its motion.

So, are you trying to solve for acceleration?
what does this part mean, "during the second 10.0 \rm s of its motion" is it a typo?
 
  • #3
solve the distance it travels @ 5 seconds.
 
  • #4
So the question states that the ball travels during the second 10s and you are trying to find the distance after the first 5 seconds?

Use a = 2d / t² to find acceleration where t will be your 10 seconds
Then use the equation d = ut + ½ at² where t will be your 5 seconds and solve for distance...

I also got x = 50... are your units correct?

Edit:
Maybe it is 16.63 m? (edited again)
a=200m/150 s² = 1.33m/s²
d = ut + ½ at²
d = 0 + ½ (1.33)(5)²
 
Last edited:
  • #5
hmmmmmm I am so confused
 

What is linear motion?

Linear motion is the movement of an object in a straight line, with a constant velocity or speed.

What is the formula for calculating linear motion?

The formula for calculating linear motion is distance = velocity x time, or d = vt.

How do you calculate the speed or velocity of an object in linear motion?

The speed or velocity of an object in linear motion can be calculated by dividing the distance traveled by the time it took to travel that distance. In other words, speed = distance/time, or v = d/t.

What is the unit of measurement for velocity in linear motion?

The unit of measurement for velocity in linear motion is meters per second (m/s).

How can the acceleration of an object in linear motion be determined?

The acceleration of an object in linear motion can be determined by calculating the change in velocity over a certain period of time. The formula for acceleration is a = (vf - vi)/t, where vf is the final velocity, vi is the initial velocity, and t is the time interval.

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