Determine the velocity and acceleration of a particle:

The motion of a particle is determined by the equation s = t 4  - 3 t 3  + 2 t 2  - 8 , where s is in metres and t in seconds. Determine the velocity & acceleration when t = 2 seconds.

Solution

We have

           s = t ⁴ - 3 t ³ + 2 t ² - 8

        ∴ v = ds/dt = 4 t ³ - 9 t ² + 4 t dt

and

 a = dv/ dt = 12 t ² - 18 t + 4

∴ at t = 2, v₂  = 4 × 2³  - 9 × 2² + 4 × 2

= 32 - 36 + 8

= 4 m / sec²

a₂  = 12 × 2²  - 18 × 2 + 4

= 48 - 36 + 4

= 16 m / sec ²

Posted Date: 1/29/2013 1:39:01 AM | Location : United States

Ask an Expert

Related Discussions:- Determine the velocity and acceleration of a particle, Assignment Help, Ask Question on Determine the velocity and acceleration of a particle, Get Answer, Expert's Help, Determine the velocity and acceleration of a particle Discussions

Write discussion on Determine the velocity and acceleration of a particle
Your posts are moderated

Write your message here..

Related Questions

Heat treatment, #question.what are process of annealing? . #question.what are process of annealing? .

Preliminary stress analysis, Preliminary stress analysis work will start ea... Preliminary stress analysis work will start early in the detail engineering phase after completion of equipment layout and piping study drawings. The piping required to be analyzed

Operating characteristics of the valve, Operating characteristics of the va... Operating characteristics of the valve is nonlinear (Fig.), a cascade controller established to reduce the effect of this. Both controllers are proportional controllers. TC has

Pascal law, explain of pascal law explain of pascal law

Metallurgical compatibility, Metallurgical Compatibility The two facet... Metallurgical Compatibility The two facets of property as above could be made analogous crudely to an athlete's wholesome strength, which includes both his physical fitness an

Crystaline solid, What is vabretion defects? What is vabretion defects?

Problems on structural design of combined footings, Problems on Structural ... Problems on Structural Design of Combined Footings a. Two columns 50 cm x 50 cm in size support service loads of 1200kN and 800kN.The centre to centre spacing between columns

Identification of pressure welds, Q. Identification of Pressure Welds? ... Q. Identification of Pressure Welds? Pressure welds shall be identified as follows: a. Generally each weld shall be stamped adjacent to the weld with the welder's identity c

Klein''s construction, what is the velocity and acceleration when connectin... what is the velocity and acceleration when connecting rod and crank are mutually perpendicular?

Find out the modulus of elasticity, Find out the modulus of elasticity: ... Find out the modulus of elasticity: A unidirectional FRP is produced with fibre volume ratio of 60%. The density of fibre is 1480 kg/m 3 and that of matrix is 1200 kg/m 3 . C