Find the speed of the projectile at given time

Reference no: EM13704218

Solve the all parts of following question:

Question: A projectile of mass m is shot straight up with initial velocity vo and feels a quadratic air resistance force of the form F =-kv², where k=mg/u². (k and u are constants and g is the acceleration of gravity.)

Part A: Find the speed of the projectile at time t while the projectile is still moving upwards. (Hint: you will need to know or calculate an indefinite integral and apply initial conditions.)

Part B: Take the limit u approaches infinity (that is, k approaches 0) in the above expression and show that it goes over to the standard expression for resistance-free vertical motion.

Part C: Find the time T at which the projectile reaches its maximum height. (Hint: the result will be of the form of a constant multiplying the tangent of another constant.)

I want you to clarify the physics in this above question.

Reference no: EM13704218

Questions Cloud

Estimate what the potential difference between the plates : Two parallel plates having charges of equal magnitude but opposite sign are separated by 27.0 cm. Determine the potential difference between the plates

Write the complete mechanism for the reaction : Question- Write the complete mechanism for the reaction of 1-methylcyclopentene with water in the presence of an acid catalyst.

How high does she see the ball rise : A science student is riding on a flatcar of a train travelling along a straight horizontal track at a constant speed of 10.0 m/s. How high does she see the ball rise

Calculate the equilibrium concentrations of all components : Question- The reaction for the formation of gaseous hydrogen fluoride has an equilibrium constant of 1.15 e2 at a certain temperature. H 2 (g) + F 2 (g) 2 HF (g) At this temperature, 2.500 mol of each component were added to a 1.500 L flask. Cal..

Find the speed of the projectile at given time : A projectile of mass m is shot straight up with initial velocity vo and feels a quadratic air resistance force of the form F =-kv2, where k=mg/u2. Find the speed of the projectile at time t while the projectile is still moving upwards

Describe how to separate a mixture of 3-toluic acid : Question- Describe how to separate a mixture of 3-toluic acid and 4-aminoacetophenone using acid base liquid/liquid extraction. What species will end up in the aqueous layer if you mix a solution of benxoic acid and aniline in ether with a solutio..

Find the time it takes to reach the highest point : A golf ball is hit with an initial speed of 25 m/s at an angle of 39o above the horizontal. Find the time it takes to reach the highest point

Determine the horizontal distance that the golf ball travels : A golf ball is hit with an initial velocity of 50 m/s at an angle of 39 degrees above the horizontal. determine the horizontal distance that the golf ball travels

Direction will the reaction proceed to reach equilibrium : Question- In an experiment involving the reaction of methane and hydrogen sulfide, 1.00 mol of CH4, 2.00 mol of H2S, 1.00 mol of CS2, and 2.00 mol of H2 are mixed in a 250. mL sealed flask and react at 960. Degree C. At this temperature, K c = 0.0..

User Account

All Pages