A rocket is fired at an angle from the top of a tower of height h0 = 37.8 m . Be

Question

A rocket is fired at an angle from the top of a tower of height h0 = 37.8 m . Because of the design of the engines, its position coordinates are of the form x(t)=A+Bt2 and y(t)=C+Dt3, where A, B, C , and D are constants. Furthermore, the acceleration of the rocket 1.58 s after firing is a? =( 2.60 i^+ 4.55 j^)m/s2. Take the origin of coordinates to be at the base of the tower. Now we can use calculus to determine expressions for the velocity and acceleration of the rocket. v(t)=2Bti^+3Dt2j^ and a(t)=2Bi^+6Dtj^

What are the x- and y-components of the rocket's velocity 19.0 s after it is fired?
How fast is it moving 19.0 s after it is fired?
What is the position vector of the rocket 19.0 s after it is fired?

MasteringPhysics: Chapter 3 Homework, 2D motion - Google Chrome https://session.masteringphysics.com/myct/itemView?assignmentProblemID-62240632 Slinker Physics 1301, Summer 2016 Signed in as Elizabeth Pham Help Close M1c Alg 2D Pro 1 Resources previous| 2 of 9 | next » M1c Alg 2D Pro 1 Correct A rocket is fired at an angle from the top of a tower of height ho 37.8 m Because of the design of the engines, its position coordinates are of the form x(t) = A Bt 2 and y(t)-C + Dt 3, where A, B. C , and D are constants. Furthermore, the acceleration of the rocket 1.58 s after firing is a = ( 2.60 i + 4.55 j) m/s". Take the origin of coordinates to be at the base of the tower. Now we can use calculus to determine expressions for the velocity and acceleration of the rocket. v(t) 2Bti 3Dt2 and a(t) -2Bi +6Dtj Part G What are the x- and y-components of the rocket's velocity 19.0 s after it is fired? Enter your answers numerically separated by a comma m/s Submit My Answers Give Up Incorrect; Try Again; 7 attempts remaining Part H How fast is it moving 19.0 s after it is fired? m/s Submit My Answers Give Up Part I What is the position vector of the rocket 19.0 s after it is fired? Enter your answers numerically separated by a comma. x,y= Submit My Answers Give Up Continue I'm Cortana. Ask me anything 6/7/2016

Explanation / Answer

from given data

B = 2.6

6D -= 4.55/1.58

D = 0.4799

G)

Vx = 2Bt

Vx = 98.8 m/sec

Vy = 519.73 m/sec

H)

v= sqrt (Vx^2 +Vy^2)

v = 529 m/sec

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