1. The particle's position vector varies in time according to the expression r = (3.00i – 6.00t2j) m (a) Determine the particle's position and velocity at t = 1.00 s.

During a 4.75 s interval, a particle's coordinates change from x = 11.0 m, y = 5.25 m to x = 30.3 m, y = -5.25 m. Assuming the particle's velocity is constant, what will its coordinates be at the end of the next 4.75 s interval?

At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle's acceleration is constant, determine its acceleration

​Suppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m. (a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s. (b) Determine the velocity and the speed at t = 3.00 s. (c) Determine the acceleration at t = 3.00 s.

At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle’s acceleration is constant, determine (a) its acceleration, (b) its initial velocity, and (c) the instant when its velocity is zero.

I need part d and e

A particle leaves the origin with an initial velocity 3.00î m/s and a constant acceleration ở -1.00î – 0.50ĵ m/s². When it reaches its maximum x coordinate, what are its (a) velocity and (b) position vector?

The velocity of a particle is given by v(t) =t² – 2t. The position of the particle at the time t = 0 is S(0) = 0. 1. Find a formula for the position S(t) at time t. 2. Find the displacement of the object on [0,3]. 3. Find the total distance traveled by the particle on [0,3].

An electron moving along the x axis has a position given by x = 17.0 te-t m, where t is in seconds. How far is the electron from the origin when it momentarily stops?

A particle moves along the x-axis so that its coordinate follows the law x(t) =2t^2 +4, where x is in meters, and t is in seconds. Find the particles velocity (in m/s) O 23 O 7t O. 17.3 4t O none of the above