S*x221) dx B) 2604 C) 15,624 D) 1302 7) 7) An object at the end of...
9. The position of a particle at time t is given by s(t) meters, where s(t) = 2t2 – 3t + 1 What is the average velocity for time between 1 second and 3 seconds? (A) 4 m/sec (B) 5 m/sec (C) 10 m/sec (D) 1 m/sec (E) 9 m/sec
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...
A particle moves with position given by s(t) = t 1 with t > 0. + where s is in meters and t is in seconds (a) Find the velocity function u(t). (b) Find v(2). Include units in your answer. (c) Find the acceleration function a(t). (d) When is the particle at rest? (You only need to consider t 0.) (e) Find the total distance traveled by the particle on 0 STS 3.
11. Suppose the position function of a particle moving along a straight line is given s(t) = t3 - 3t2 + 8, where s is in meters and t is in seconds. Include units in your responses. (a) How far has the particle traveled in 1 second? (b) What is the velocity of the particle at 1 second? (c) What is the acceleration of the particle at 1 second? (d) is the particle speeding up or slowing down or neither...
Chapter 02, Problem 018 (e) the acceleration of the particle at 4.00 s. (d) What is the maximum positive coordinate reatn of the particdle at the instant the particle is not moving maximum positive velocity reached by the particle and (g) (other than at t 0)? () Determine the average velocity of the particle between t 0 and t -4.00s. s is given by x-13.02-4.00r, where x is in meters and t is in seconds. Determine (a) the position, (b)...
C, D, F??????? A partidle moves according to a law of motion s-t), t0, where t is measured in seconds and s in feet. (If an answer does not exist, enter DNE.) ft) - - 721t (a) Find the velocity at time t -32-14 +21 ft/s (b) What is the velocity after 1 second? 1)10 ft/s (c) When is the particle at rest? t 2.33333333 | X (d) when is the particle moving in the positive direction? (Enter your answer...
The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. aim d10sn (a) Describe the motion of the object Is the motion simple harmonic? O Yes tes O No S, (b) What is the maximum displacement from its resting position? meters sec, (c) What is the time required for one oscillation? seconds deos (d) What is the frequency? tes |□oscillation per second z as needed. Use integers or fractions for any...
(8%) Problem 3: In a particular Cartesian coordinate system, a particle has coordinates X(t) = 2sin(31) + C. y= 0, z=0. where t is in seconds, x is in meters, and C is a constant to be determined by the data. At t=0 the particle was at x = 1 m. 14% Part (a) Find the value of constant C, in meters. C=1 Correct! * 14% Part (b) Find the instantaneous velocity, in meters per second, at 1-1.5 S. vy(t)...
7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
PART THREE Mutipart, " by, ete)- (6+ 7,+8') object a) (a point) Find the average acceleration from tOs tot 18, in u scaffolded." SHOW YOUR WORK as applicable seconds) a The velocity of an object (in meters p er second) is given as a function of time (in i + (9-4,-ri). At timetO s, the object's position (in metern) At time t-0 s, 0s to b)(a point) Find the instantaneous acceleration a form. s a function of time, in unit-vecto