• 4. An object's position is described by the following polynomial forO s to 10 s. S (t) = t3 - 15 t2 + 54 t where Sin meters,%3Dt is in seconds. Determine :a) The object's Velocity Function3;b) The object's acceleration Function;c) The object's position at, t = 4 s;d) The object's velocity at, t = 4 s;%3De) The object's acceleration at t = 4s;f) The time and velocity when object returns to its original position;g) The time and velocity when acceleration is zero.h) Is the object's speed is increasing, decreasing, either if time is 4 s ?- NOTES EUELDIMDDOVE OFFICE

Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Answered: • 4. An object's position is described…

Similar questions

Problem 6 Suppose the position function of a particle moving in one dimension is given by a(t) = 5+ 3t + 2t2 – 0.5t3 (1.30) where the coefficients are such that the result will be in meters if you enter the time in seconds. What is the particle's velocity at t= 2 s? There are two ways you can do this: • If you know calculus, calculate the derivative of (1.30) and evaluate it at t= 2 s. If you do not yet know how to take derivatives, calculate the limit in the definition (1.8). That is to say, calculate Ar/At with t; = 2s and At equal, first, to 0.1s, then to 0.01 s, and then to 0.001 s. You will need to keep more than the usual 4 decimals in the intermediate calculations if you want an accurate result, but you should still report only 3 significant digits in the final result.
Q3) A particle moves along a space curve whose position vector is given by = j 670. S cosit)e' t t;+ 5 sin(t)k Find the length travelled along the when the particte i's-at the curve, co-ordinate (5, 4TT, 0).
The max height above projection point = 46.9 m The max height above ground = 66.9m
3 Уг y₁ Positive y direction ys Question 2-17: The diagram above shows the positions of the IOLab at equal time intervals. Describe in words the directions of the vectors you could draw above the IOLab at each time that might represent the velocity of the IOLab at that time while it is moving down the ramp in the negative direction and speeding up. Question 2-18: Use the symbols ---> to represent the velocity vectors at the four different times, and label them 1, 2, 3 and 4.
2-4

• 4. An object's position is described by the following polynomial for O s to 10 s. S (t) = t3 - 15 t2 + 54 t where S in meters, t is in seconds. Determine: a) The object's Velocity Function; b) The object's acceleration Function; c) The object's position at, t = 4 s; %3D