Sally is driving along a straight highway in her 1965 Mustang. At t=0, when she is moving at 10 m/s in the positive x-direction, she passed a signpost at x=50 m. Her acceleration as a function of time is a=20 m/s^2-(0.10 m/s^3)t. Find her velocity and position as functions of time. Where is her velocity greatest? What is that maximum velocity? Where is the car when it reaches that maximum velocity?

A particle's position is given by x = 6 − 9t + 1t2 (where t is in seconds and x is in meters).1. What is its velocity at t = 1 s? (Indicate the direction with the sign of your answer.)-----m/s2. What is its speed just then?-----m/s3. Is there ever an instant when the velocity is zero? If so, give the time t; if not, say NONE.

A rabbit runs across a parking lot on which a set of coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by:                            x = -0.3t2 + 5t + 28  and  y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?      A. 0.6 i + 0.4 j   B. -0.2i +1.6j +30   C. -i - 3.6 j   D. 4i + 2j

A scooter begins at rest at t0=0 seconds. The scooters starts moving, and eventually covers a distance d= 651m, in a time tf= 104 seconds. In a coordinate system with north being the positive x-direction, the scooter's motion is in the northern direction. What wa the scooter's average speed, during this time period, in meters per second? What was the scooters displacement in the northern direction during this person, in meters? What was the scooter's average velocity in the northern direction, in this period in meters per second? If the scooter's final velocity at tf was 12 m/s, what was the scooter's average acceleration in the northern direction, during this period in m/s%^2?

A stone is dropped from rest from the top of a high-rise. It takes △t = 2.6 s forit to reach the ground. a. What is the initial velocity, Vi, of the stone in m/s? b. What is the value of the magnitude of acceleration, in m/s^2?? c. Express the final velocity vf of a object travelling with an acceleration a for a time period △t which starts with an initial velocity vi. d. Calculate the magnitude of vf in m/s.e.Express the displacement △y of an object travelling with acceleration a during a time period △t that has an initial velocity vi.

A particle moves along the x axis according to the equation x = 2.10+ 2.96t - 1.00t2, where x is in meters and t is in seconds. (a) Find the position of the particle at t = 2.90 s. m (b) Find its velocity at t = 2.90 s. m/s (c) Find its acceleration at t = 2.90 s. m/s²

Q1) The position of a particle traveling along a straight line is s(t) = (t²-3t²+C) ft, where tis in seconds and C is a constant. If s = 4 ft when t= 0, determine the velocity of the particle when t =4 s. What is the total distance traveled during the time interval t = 0 to t = 4 s? Also, what is the acceleration when t = 2 s?