Ball Drop and Projectile Motion: When Will They Meet?

In summary, two balls are released from a 100m cliff, one is dropped and the other is thrown up with enough velocity to reach the top. The two balls will meet at a distance of 25m from the top of the cliff after 5^(1/2) seconds.
  • #1
Dr.azwar
10
0
A ball is dropped from a 100m cliff. at the same time another ball is thrown up such that it has enough velocity to reach the top. at what distance from top of the cliff will the two balls meet?
 
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  • #2
Please use the homework template, and tell us what you have done so far.

Chet
 
  • #3
let the two balls pass at t sec
the initial velocity of the ball is =
v^2-u^2=2as
0-u^2=2*-10*100
u=20(5)^1/2
therefore displacement of ball in tsec=
s1=ut+1/2a(t)^2
s1=(20(5)^1/2)t- 1/2g(t)^2......1
the displacemt of other ball in t sec =
s2=1/2g(t)^2.......2
eq 1 +eq 2=100
(20(5)^1/2)t=100
t=(5)^1/2
therefore they will pass each other at
1/2g(5)=25m from the top
 
  • #4
So you didn't need any help with it after all?

Chet
 
  • #5
i just wanted to know wheather my answer is correct
 

1. What is kinematics?

Kinematics is a branch of physics that deals with the motion of objects without considering the causes of that motion.

2. What happens to the velocity of a ball when it is dropped?

The velocity of the ball increases as it falls due to the acceleration of gravity.

3. How does the height from which a ball is dropped affect its final velocity?

The higher the height from which the ball is dropped, the greater the final velocity will be due to the increased potential energy it has at the higher starting point.

4. What is the formula to calculate the final velocity of a ball that is dropped?

The formula is v = √(2gh), where v is the final velocity, g is the acceleration of gravity (9.8 m/s²), and h is the height from which the ball is dropped.

5. How does air resistance affect the motion of a ball that is dropped?

Air resistance, also known as drag, will act on the ball as it falls and will decrease its acceleration and final velocity. This effect is more noticeable for objects with larger surface areas, such as parachutes.

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