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

In summary, two problems were discussed in the conversation. The first involved finding the initial velocity needed to launch a projectile from the surface of the earth to a height of 900 feet, assuming a constant rate of acceleration due to gravity. The second problem involved determining the time T such that exactly 5% of customers wait longer than T minutes to be seated at a certain restaurant, given a probability distribution function. The answer to the second problem should be rounded to the nearest minute.
  • #1
andrija
1
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:
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  • #2
Locking a thread that possibly includes a question from a take-home exam.
 

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

What is velocity?

Velocity is a measure of the rate of change of an object's position with respect to time. It is a vector quantity, meaning it has both magnitude and direction.

How do you calculate velocity?

To calculate velocity, you divide the change in position (displacement) by the change in time. The formula for velocity is: v = Δx/Δt. It is typically measured in meters per second (m/s) in the SI system.

What is time?

Time is a concept that is used to measure the duration or sequence of events. It is a fundamental quantity in physics and is often referred to as the "fourth dimension" in the space-time continuum.

How is time measured?

In the SI system, time is measured in seconds (s) using a clock or stopwatch. Other units of time, such as minutes, hours, and days, are derived from the second.

How can I find velocity and time in a given scenario?

To find velocity and time in a given scenario, you need to know the initial and final positions of the object, as well as the time it took to travel between those positions. You can then use the formula v = Δx/Δt to calculate the velocity, and the given time to determine the duration of the movement.

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