Instantaneous Acceleration in 2D Video Lessons

Video Thumbnail

Concept

Problem: A rocket is fired at an angle from the top of a tower of height exttip{h_0}{h0} = 50.1 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 1.60 s after firing is a = ( 4.10 i+ 3.60 j)2. Take the origin of coordinates to be at the base of the tower.Find the constant A.At the instant after the rocket is fired, what is its acceleration vector?What are the x- and y-components of the rockets velocity 15.1 s after it is fired?What is the position vector of the rocket 15.1 s after it is fired?Find the constant B.Find the constant C.Find the constant D.At the instant after the rocket is fired, what is its velocity?How fast is it moving 15.1 s after it is fired?

FREE Expert Solution
100% (122 ratings)
Problem Details

A rocket is fired at an angle from the top of a tower of height = 50.1 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 1.60 s after firing is
a = ( 4.10 i+ 3.60 j)2.
Take the origin of coordinates to be at the base of the tower.

Find the constant A.

At the instant after the rocket is fired, what is its acceleration vector?

What are the x- and y-components of the rockets velocity 15.1 s after it is fired?

What is the position vector of the rocket 15.1 s after it is fired?

Find the constant B.

Find the constant C.

Find the constant D.

At the instant after the rocket is fired, what is its velocity?

How fast is it moving 15.1 s after it is fired?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Instantaneous Acceleration in 2D concept. You can view video lessons to learn Instantaneous Acceleration in 2D. Or if you need more Instantaneous Acceleration in 2D practice, you can also practice Instantaneous Acceleration in 2D practice problems.