Q-5. The velocity of a particle moving along a line is given by v(t) = 4t³ – 3t² at time t,lf the particle is initially at a 3 on the line, find its position when t 2.

Q: = t² - 6t + 8, The velocity function of a particle moving along a horizontal line is given by v(t)…

A: Velocity and acceleration

Q: ds The position of a particle at time t is given by s. Find the velocity dt 4 - 5st + 2t - 7t= 0

A:

Q: A particle moves with position function s(t) = t – 4t³-20t?+20t where t > 0. At what time does the…

A: This question is based on application of Derivative.

Q: 6. Find the position function of a particle moving along a coordinate line whose velocity at time t…

A: The velocity of the particle is given as a function of time by, v=6t2-4t+4 The velocity of a…

Q: The particles is moving in straight line so that after seconds its distance is d(in cms) from a…

A:

Q: 3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 15t² –…

A: Use the application of derivative to determine velocity and acceleration.

Q: 2. A particle is moving along a horizontal line such that its velocity is given by v(t) = 3t2 –…

A: Topic:- application of derivatives and integration

Q: 6) At time t = 0, a diver jumps from a diving board that is 12 feet high with an initial velocity of…

A: The driver's position at time t is given by: s(t)=-16t2+16t+12

Q: Suppose the position of an object moving in a straight line is given by s(t)= 3t - 7t-8. Find the…

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t2 - 9t + 17,…

A:

Q: Q-2- A Particle moves in a straight line so that after t sec. it is Sm. from a fixed Point O on the…

A:

Q: In dynamics, v=ds/dt (velocity) and a=dv/dt (acceleration) are called equations of motion where the…

A:

Q: A particles is moving in a straight line so that after t seconds its distance is (in miles) from a…

A:

Q: A particle is moving with velocity v(t) = t2-9t + 18 with distance, s measured in meters, left or…

A:

Q: A particle with velocity at any time t given by v(t)=e't moves in a straight line. How far does the…

A: solve the following

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 - 6t 24.…

A:

Q: A particle moves along the x-axis with velocity given by v (t) = 10t + 12 for time t> 0. If the…

A:

Q: The position of the particle at time t is given by s(t) = t² – 6t + 8. The particle is moving from…

A:

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 at time t = 0, what is the…

A:

Q: (2) A particle moves along the 1-aris such that the velocity is given by v(t) = 20e' +t for t > 0.…

A: Here, the velocity vector is: v(t)=20et+t7

Q: A particle moves along the x-axis so that at time t\ge 0t≥0 its position is given by…

A:

Q: A Ferrari's position at time t is given by s(t) = t3 - 9t2 + 24t 1) Find the velocity, v(t) of the…

A:

Q: The position of the particle at time t is given by s(t) = t2 - 8t + 15. The particle is moving from…

A:

Q: A particle is moving in a straight line so that after t seconds its distance is (in miles) from  a…

A:

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the…

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0,…

Q: 9) A particle moves along the y-axis with velocity v(t) = 2tvt² +1 m s' for t 2 0. Describe its…

A:

Q: s = -t² + 6t –1 and 0<t <1 then the velocity at t = 1 is

A:

Q: 3t/2 Find the length, s, of the parameterized curve, x =3 e ° - 4t, y = 8 e 3t over the interval…

A:

Q: A particle is traveling along a straight line. Its position at time t is given by s(t) = 3t2 + 7.…

A: Given, Position of particle as  S(t) = 3 t2 + 7   Velocity is given by the formula v = dSdtFor…

Q: At time t 2 0, the velocity of a body moving along the s-axis is v=t2-7t+6. When is the body moving…

A:

Q: A particle moves along the x axis with its position at time t given by x(t) = (t + a)(t - b) where a…

A: Basics of differentiation are used.

Q: At time t, the position of a body moving alongthe s-axis is s = t3 - 6t2 + 9t m. Find the body’s…

A:

Q: At which times is the particle instantaneously motionless

A: Concept: The velocity is figured out by dividing the distance by the time taken to travel that same…

Q: 6. Suppose s(t) = 2t-21t +60t +3 is the position function of a particle is moving along the x-…

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 2. A particle is moving according to the position function s(t) = - 2t3 – 6t² + 9t, where s is in mm…

A:

Q: Q-5. The velocity of a particle moving along a line is given by v(t) = 4t3 – 3t at time t,lf the…

A: The velocity of the particle is given by v(t)=4t³-3t²

Q: A particle starts at time t=0 and moves along the x-axis so that its position at any time tz 0 is…

A:

Q: A particle is moving with v (t) =t – 3vt. Find the position of the particle at time tif s (4) = 2.

A:

Q: 3. The position of a particle travelling along a horizontal line in t seconds is s (t) = 2t³ – 9t2 –…

A: To find the velocity and acceleration of the particle

Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 13 for time t > 0. If the…

A:

Q: Q-1-At time t, the position of a body moving along the s - axis is t4 9. S = - 2t3 2t3 +t2 + 5t -- 4…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A particle moves along the x-axis so that at time t > 0 its position is given by x(t) = t3 + 12t2 –…

A: Given, x(t)=t3+12t2-27t  .................(1) Particle comes to rest when, v(t)=0 we have to find…

Q: A particle moving on a line is at position x(t)=t3−9t2+24t−5 at time t where t is in seconds. At…

A: The given function for position of an object is where t is the time in seconds. Now, to find points…

Q: A particle moves on a coordinate line with acceleration a = d2s/dt2 = 15√t - (3/√t), subject to the…

A: Given that, a=d2sdt2=15t-3t

Q: 2. The position of a particle is i (t) = (2.0or² i+ 6.0j – 6.0t k) m. a. Determine its velocity and…

A: To find Velocity and acceleration vectors from the given position vectors.

Q: The position of a particle on the x-axis is given by r(t) = t²-4t+3. At what time is the particle's…

A:

Q: The position at time t is greater than or equal to 0 of a particle moving along a coordinate line is…

A: Given, Particle is moving along a coordinate line that is given by st=t3+32t2-6t. a) Let the…

Q: 3. The position of a particle travelling along a horizontal line in t seconds is s(t) = 2t³ – 12t² –…

A: Given: st=2t3-12t2-126t+2 We know that if displace is given by function st, then velocity and…