How can I determine the initial velocity of a ball thrown towards a ceiling?

AI Thread Summary
To determine the initial velocity of a ball thrown vertically to reach a ceiling 2.4 meters high, the conservation of energy principle can be applied, assuming no air resistance. The discussion suggests that the ball's upward and downward flight times are equal, allowing for the use of kinematic equations. Specifically, the equation vf² = vi² + 2ad can be utilized, where the final velocity (vf) at the peak is 0 m/s, acceleration (a) is due to gravity, and distance (d) is 2.4 m. The initial velocity (vi) can then be calculated by rearranging the equation, with time being the only missing variable. This approach provides a systematic way to find the initial velocity needed for the ball to reach the ceiling.
ashlee.m
Messages
1
Reaction score
0

Homework Statement



a ball that is 10cm in diameter is thrown 2.4m above the level of hands vertically to reach a ceiling what is the initial velocity

Homework Equations


struggling to determine the intial velocity as have no time


The Attempt at a Solution



Help! really struggling
 
Physics news on Phys.org
Assuming there is no air resistance, then use the conservation of energy principle.
 
conservation of energy principle?
I have a similar problem and stuck too. I'm thinking if the down part of the balls flight equals the same as the up part then I was thinking you can work out the second half of the flight with vf2 = vi2 + 2ad, knowing the initial velocity for the return trip is 0m/s and acceleration is gravity and d=2.4m. Not sure if I'm on the right track though. But if so then can use one of the formulas with time the only missing variable and work it out.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

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...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

A ball is thrown w/initial speed vi at an angle 𝜃i with the horizontal
Replies
5
Views
1K
Determine initial velocity of a vertical throw
Replies
11
Views
4K
Solving for Initial Velocity & Max Height of Thrown Ball
Replies
9
Views
1K
What is the initial velocity of a ball falling in Earth's gravity?
Replies
19
Views
2K
Projectile Motion: initial velocity problem
Replies
1
Views
1K
Object thrown at an angle: Initial velocity has to equal speed at t
Replies
16
Views
1K
Projectile Motion: Pitcher throwing a ball to a catcher
Replies
2
Views
2K
Initial velocity of ball B hit a free falling ball A
Replies
7
Views
2K
Initial displacement of a midpoint of a string?
Replies
1
Views
2K
What can you predict given acceleration and initial velocity
Replies
2
Views
5K

Hot Threads

Recent Insights

Back
Top