The velocity vector of a particle is given as: v⃑t= 3−t^2(i)−t^2(j) a) Find the instantaneous velocity and acceleration at t = 2.0 s.  b) Find the parallel and perpendicular components of the acceleration at t = 2.0 s.

Q: The vector position of a particle varies in time according to the expression 7(t)=(1.76 t + 1.56)7…

A: Given data: The equation of particle which  varies in time is given as, The equation of velocity…

Q: Given a displacement Vector F(t)= (2.50 m)1 + (0.25 m/s³)t³ (6.00 m/s)tk Find the displacement, Keep…

A: The displacement is given by, r(t)→=2.5i^+0.25t3j^-6tk^. Where r is in meter and t is in sec.…

Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…

A:

Q: 2. Is it possible for two vectors, A and B, of unequal magnitudes to have a resultant with a 1…

A: The length of the vector is calculated y the magnitude of vector. it implies by the v. length…

Q: A particle initially located at the origin has an acceleration of a - 2.00j m/s? and an initial…

A:

Q: A particle leaves the origin with an initial velocity = (7.83î) m/s and a constant acceleration à =…

A:

Q: A velocity vector has a magnitude of 22.0 m/s. If the y component is -12.0 m/s what are the possible…

A: Given Magnitude of vector is v=22.0 m/s Y component of vector is vy=-12.0 m/s   Find the  possible…

Q: The velocity of a particle moving in the x-y plane is given by (7.15i +4.12j) m/s at time t = 5.37…

A: We are given velocity of particle. We are also given average acceleration. We hence find the final…

Q: At time t = 0, a particle is located at the point (1,3,8). It travels in a straight line to the…

A:

Q: The vector position of a particle varies in time according to the expression: r =( 20ti+(2 + 20t-5t…

A: The position vector of the particle is given as: r→=20t i^+2+20t-5t2j^ It is required to find its…

Q: A Particle is in the xy-plane in uniform circular motion around the origin. The x- and y-…

A:

Q: (a) Find the velocity and position vectors as functions of time t. m/s = m (b) Find the equation of…

A: a) The particle’s velocity can be determined as, The particle’s velocity can be determined as,

Q: Find the angle between the velocity and the acceleration vectors at time =0 r(t)=sqrt3 ti+(t+pi/3…

A:

Q: Suppose that a particle's position is described by r(t) = ti+ (t + 1) k. Find the velocity vector…

A:

Q: The position vector is r = (3t3 - 2t)i + (2t+1)j (above r,i,j has Vector symbol) Determine the…

A: given that  r = (3t3 - 2t)i + (2t+1)j

Q: The acceleration of a particle is a = (5.00 i - 7.00 j) m/s^2. At t = 0, the particle leaves the…

A:

Q: The velocity V of a particle moving in the xy plane is given by 7 = ( 5.50 t - 5.00 7 )î + 9.00 3.…

A: According to question we need to find--- at which time the velocity of the object will be zero?

Q: The velocity vector of a sprinting cheetah has x- and y-components vx = +28.6 m/s and vy = −26.3…

A:

Q: A particle initially located at the origin has an acceleration of 3.00j m/s² and an initial velocity…

A:

Q: A body moves from: position (1.0 m)i− (3.0 m)j where its velocity is (2.0 m/s)i+ (0.5 m/s)j to…

A: Given data:  Initial position (ri) = (1.0 m)i− (3.0 m)j Initial velocity (Vi) = (2.0 m/s)i+ (0.5…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.