A particle moves along the x axis according to the equation x = 1.92 + 3.03t – 1.00t“, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 3.10 s. m (b) Find its velocity at t = 3.10 s. The instantaneous velocity at a particular time can be obtained by taking the time derivative of the position versus time function and then putting in the specific value of t. m/s (c) Find its acceleration at t = 3.10 s.

A rocket is shot straight up in the air from the ground at a rate of 46 feet per second. The rocket is tracked by a rangefinder that is 427 feet from the launch pad. Let d represent the distance from the rocket to the rangefinder and t represent the time, in seconds, since "blastoff". Express d as a function of t.

The acceleration of a particle as a function of time is given as a= kt, where, a is linear acceleration in m/s2, k is proportionality constant in m/s3 and t is time inseconds. At countdown time t= 0 second, the velocity of a particle v=3 m/s. Knowing the condition that both the velocity and position are zero at countdown time t=5 seconds; write down the final general equations of motion of the particle as a function of time.

External stimuli are communicated to the brain by means of electrical signals propagating along nerve cells at a speed of approximately 25 m/s. Similarly, electrical messages are sent at the same speed from the brain along nerve cells to the muscles. Reflex actions are controlled by a relatively simple nerve circuit from a muscle to the spine and back to the muscle. Estimate the reflex time for a stimulus at the knee. (Assume that the signal resulting from the stimulus must travel a distance Δs = 1 m.)

At t = 0 the coordinates of a particle are x = 0, y = 1.98 m. At a time 0.95 s later, its coordinates are x = 3.21 m, y = 4.20 m. Find the components of the particle's average velocity during this time interval. vx =  vy =

A cat falls from a tree (with zero initial velocity) at time t = 0. How far does the cat fall between t=0.3s and t = 1.4 s? Use Galileo's formula u(t) = 32t fus. Answer: ft.

The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a line.Constants b and c are positive. a(t) = bt + c,    and initial velocity v(0)> 0 ; where    0 ≤ t ≤ x (a) Find the velocity at time t.v(t) =         m/s(b) Find the distance traveled during the given time interval.distance (t) =         m

v(t) = 4t3 + 10t m/s. The initial position is r = 3 m. 3. A one dimensional problem. Assume v = Determine the position and acceleration at time t = 3sec.

A particle moves along a line with a velocity v(t)=(−1/t^2)−2, measured in meters per second. Find the net displacement of the particle from time t=2 to time t=4. Enter an exact answer.

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