Four parts are done.
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Not sure if these are right 2· The e motion of a particle is modelled by the equation s(e) 5+9t-6t2+t3, where s is measured in metres and t is time in seconds. a) When is the particle at rest? (2)...
The position of a particle along a straight-line path is defined by s=(t3−6t2−15t+7) ft, wheret is in seconds. Part A: Determine the total distance traveled when t = 8.3 s . Part B: What are the particle's average velocity at the time given in part A? Part C: What are the particle's average speed at the time given in part A? Part D: What are the particle's instantaneous velocity at the time given in part A? Part E: What are...
Requirment: Acceleation of particle versus time? A particle travels along a straight line for a duration of 6 seconds. At t-o, the particle is at rest and se-5 m. The motion profile is as follows: Between 0 and 1 seconds, it travels at a speed V1. Between 1 and 2 scconds, it travels at an acceleration a2 Between 2 and 3 seconds, it travels at an acceleration a3 Between 3 and 4 scconds, it travels at an acceleration a4 Between...
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...
Use Python to solve each problem. 2. A particle moves according to a law of motion s = t 3 − 12t 2 + 24t, t ≥ 0. a) Find the velocity at time t. b) What is the velocity after 1 second? c) When is the particle at rest? d) Sketch the position function on t ∈ [0, 6] to determine when the particle is moving in the positive direction on that interval. e) Find the total distance traveled...
A particle moves according to a law of motion s = ft), t 0, where t is measured in seconds and s in feet. t)-te-t2 (a) Find the velocity at time t (in ft/s) v(t) e (b) What is the velocity after 2 s? (Round your answer to two decimal places.) v(2) ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total...
An oceanographer measured a set of sea waves during a storm and modelled the vertical displacement of waves in meters using the equation h(t)=0.6cos2t+0.8sint, where t is the time in seconds.a) Determine the vertical displacement of the wave when the velocity is 0.8m/s Ans: -1.2sin2t+0.8cost = 0.8-2.4(sint)(cost)+0.8cost = 0.8cost(-2.4sint+0.8) = 0.8cost = 0.8t = cos-1(0.8) OR -2.4sint +0.8 = 0.8=0.6 t = 0b) Determine the maximum velocity of the wave and when it occurs. Ans: cost(-2.4sint+0.8)=0therefore t= 1.5 and 0.3...
the velocity of a particle traveling in a straight line is given by v=(6t-3t^2)m/s, where t is in seconds, if s=0 when t= 0. determine the particles deceleration and position when t=3s. how far has the particle traveled during the 3s time interval and what is its average speed?
1. If a particle moves according to a law of motion S(t)=12-6-7, t 20 Where t is measured in seconds and sin meters, (a) Find the velocity of the particle in terms of t. (b) Find the velocity and the speed at time t=1. (c) When is the particle at rest? (d) When is the particle moving to the right and when is it moving to the left? (e) Find the acceleration of the particle at t. (10pts) 2. Evaluate...
5:16 lLTE ) Done 1 of 5 Assessment #1 (Kinematics of a Particle) Rectilinear Motion (Straight linc Motion 3. The position of a point during the interval of time from r otor 6 is given by ** * m. (a) What is the maximum velocity during this interval of time, and at what time does it occur? (b) What is the acceleration when the velocity is a maximum? (20 m/s, 0 m/s 3. A test projectile is fired horizontally into...