Projectile Motion of Basketball Shot to Ring

AI Thread Summary
To solve the problem of a basketball shot from a height of 2.8m to a ring at 3.3m, the initial vertical velocity is calculated as 4.45 m/s and the horizontal velocity as 3.23 m/s. The challenge lies in determining the time of flight since this projectile does not start and end at the same height. The participant is unsure how to approach the time calculation, which is essential for finding the horizontal displacement. Understanding the relationship between vertical and horizontal motion is crucial for solving this type of projectile motion problem. Accurate calculations will lead to the horizontal distance traveled by the basketball before it reaches the ring.
Chooks
Messages
1
Reaction score
0

Homework Statement



A basketball is thrown from a height of 2.8m above the ground and goes through a basketball ring that is 3.3m above the ground. If the release velocity was 5.5 m/s at an angle of 54 degrees upwards from the horizontal, calculate the horizontal displacement the ball will travel between being released and reaching the ring

Homework Equations



I know I have to find initial vertical and horizontal velocity and time

The Attempt at a Solution



I have found initial vertical velocity of 4.45m/s and horizontal velocity to be 3.23m/s

I don't know where to start with time as i have only ever done projectiles that take-off and land at the same height ?
 
Physics news on Phys.org
For any vertical or horizontal displacement, the time taken are equal.
 
Last edited:
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 »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Find the height of a lamp based on the velocities of projectiles
Replies
40
Views
2K
Relative motion/Projectile motion
Replies
18
Views
4K
Find Projectile Flight Time Given Only Maximum Height
Replies
4
Views
2K
Projectile motion of basketball
Replies
10
Views
4K
Calculating Initial Velocity for a Basketball Free Throw - Projectile Motion
Replies
3
Views
3K
A ball is thrown w/initial speed vi at an angle 𝜃i with the horizontal
Replies
5
Views
1K
I need opinions on a Projectile Motion problem that I made up
Replies
11
Views
2K
Relationship between Launch height and range of a projectile
Replies
15
Views
25K
How Do You Solve a Projectile Motion Problem?
Replies
3
Views
4K
Projectile Motion Graph Analysis
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top