Calculate the velocity vector as a function of time

Reference no: EM13242797

A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward). The rocket's acceleration has components ax(t)=?t2 and ay(t)=???t, where ? = 2.50 m/s4, ? = 9.00 m/s2, and ? = 1.40 m/s3. At t=0 the rocket is at the origin and has velocity v? 0=v0xi^+v0yj^ with v0x = 1.00 m/s and v0y = 7.00 m/s.

1. Calculate the velocity vector as a function of time.

2. Calculate the position vector as a function of time.
Express your answer in terms of v0x, v0y, ?, ?, and ?. Write the vector v? (t) in the form v(t)x, v(t)y, where the x and y components are separated by a comma.

What is the maximum height reached by the rocket?

What is the horizontal displacement of the rocket when it returns to y=0?

Reference no: EM13242797

Questions Cloud

Provide a managerial report - gulf real estate properties : Each condominium is classified as Gulf View if it is located directly on the Gulf of Mexico or No Gulf View if it is located on the bay or a golf course, near but not on the Gulf.

A semiannual interest rate swap contractat : On 6/1/2013, you entered into a semiannual interest rate swap contract, where you pay a fixed rate of 6.2% per annum and receive 6-m LIBOR on a principal amount of $1,000,000. Suppose the 6-m LIBOR rates were 5.7% on 6/1/2013 and 6% on 12/1/2013. Wha..

What differences between the british side and german side : What differences between the British side and the German side does Jünger recognize as early as August 1916 (pages 100-101)?

Explain a voltaic cell would cause an increase in potential : Which of the following changes to a voltaic cell would cause an increase in potential (i.e., more positive Ecell)

Calculate the velocity vector as a function of time : A faulty model rocket moves in the xy-plane (the positive y-direction is vertically upward), Calculate the velocity vector as a function of time

Byzantine art and early middle ages : What is the significant difference between Byzantine Art and Early Middle Ages?

What is the forward price : A stock is expected to pay a dividend of $2.20 per share in 1 months and in 4 months. The stock price is $54, and the risk-free interest rate is 11% per annum with continuous compounding for all maturities. An investor has just taken a long position ..

Explain the effect on the partial pressure of so3 : Assume the temperature of the mixture is chosen so that Kp=0.12. Predict the effect on the partial pressure of SO3 as equilibrium is achieved by using Q, the reaction quotient.

Lewis milestone made in turning erich maria remarque''s novel : Do the changes director Lewis Milestone made in turning Erich Maria Remarque's novel All Quiet in the Western Front into the Best Picture of 1930 strengthen or weaken the story? See below for a list of a few changes.

User Account

All Pages