Calculate Initial Velocity for Projectile Launch | Solve for Time and Velocity

  • Context: Undergrad 
  • Thread starter Thread starter andrija
  • Start date Start date
  • Tags Tags
    Time Velocity
Click For Summary
SUMMARY

The discussion focuses on calculating the initial velocity required to launch a projectile to a height of 900 feet, given a constant gravitational acceleration of 32 feet per second squared. The formula used is derived from the kinematic equations of motion. Additionally, the conversation addresses a probability distribution function for customer wait times at a restaurant, specifically determining the time T such that 5% of customers wait longer than T minutes, with c set to 1/10. The results are rounded to the nearest minute for practical application.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of gravitational acceleration (32 ft/s²)
  • Familiarity with probability distribution functions
  • Basic calculus for solving exponential equations
NEXT STEPS
  • Study kinematic equations for projectile motion in physics
  • Explore the derivation and applications of exponential decay functions
  • Learn how to calculate percentiles in probability distributions
  • Investigate real-world applications of projectile motion in engineering
USEFUL FOR

Students in physics and mathematics, educators teaching kinematics and probability, and professionals in fields requiring application of motion and statistical analysis.

andrija
Messages
1
Reaction score
0
1.Assuming a constant rate of acceleration due to gravity of 32 feet per second per
second, find the initial velocity needed to launch a projectile from the surface of the
earth to a height of 900 feet.

2. Suppose that the probability distribution function for customers waiting to be
seated at a certain restaurant on a certain evening has the form f(t) = ce^-ct for
t > 0, where c = 1/10 is the reciprocal of the average waiting time in minutes. Find
the time T such that exactly 5% of customers wait longer than T minutes to be
seated. Round your answer to the nearest minute.
 
Last edited:
Physics news on Phys.org
Locking a thread that possibly includes a question from a take-home exam.
 

Similar threads

Replies
1
Views
5K
  • · Replies 16 ·
Replies
16
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
40
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 25 ·
Replies
25
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K