The position of a pinewood derby car was observed at various times; the results are summarized in the following table. Find the average velocity of the car for (a) the first second, (b) the last 3 s, and (c) the entire period of observation. t (s)      0     1.0     2.0     3.0       4.0     5.0x (m)    0     2.3     9.2    20.7    36.8    57.5

A bus initially at a bus stop accelerates continuously for a kilometer, taking a minute and a half. Upon closing in on the next stop, the driver then begins to hit the brakes until it reaches a full stop in 8 seconds. Find the total distance that the bus traveled and the velocity of the bus just before it begins decelerating.

A group of students in a science class monitored the movement of a cat walking along with a straight line and recorded the cat's position in five-second intervals.The results are summarized it in the table below.  time and position time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0   A. What is the displacement of the cat between t = 5.00 s and t = 20.0 s?   B. What is the average velocity of the cat between t = 5.00 s and t = 20.0 s?   C.What is the distance the cat traveled between t = 5.00 s and t = 20.0 s?

The position-time graph that describes the motion of an object is given as in the figure below. if the values of a= 100.8m, b%3D212.8m and c=327.3m, Find the instantanous velocity (in units of m/s) at t=35 s. x(m) a t(s) 10 20 30 40 Select one: OA. 15.10 OB, 16.00 OC. 3.27 OD. 42.81 OE 22.69

along a straight line and the Figure shows the graph of its position as a function of time. What is the average velocity of the object between times Os and 6.0 s? 10 Position (m) 5 0 -5 -10 -15 2 4 6 8 10 12 14 16 18 20 Time (s) TCL.

A car begins at the position x1 = 6.0.m with an initial velocity of 20.4 m/s. If the acceleration of the car is 7.80 m/s^2 find the velocity of the car when it has reached the point x2 = 25.0m in m/s. Just input the number in the answer box, don't input units.

The displacement of a particle is given by s = 2t³ - 40t² + 84t - 54 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 16 seconds of motion. After you have made the plots, answer the questions. Questions: At t = 2.5 sec, At t = 9.3 sec, At t = 11.8 sec, S = S = S = M The velocity is zero when t = i ft, v = ft, v = ft, v = i i sec and when t = ft/sec, a = ft/sec, a = ft/sec, a = i MO i sec ft/sec ft/sec² ft/sec

Starting at x = - 14 m at time t = 0 s, an object takes 17 s to travel 42 m in the +x direction at a constant velocity. On a sheet of paper, make a position vs. time graph of the object's motion. What is its velocity

This is the vx-tgraph for an object moving along the x-axis. Which of the following descriptions of the motion is most accurate? Vx The object is speeding up at an increasing rate. The object's speed is changing at a steady rate. O The object is slowing down at an increasing rate. The object is slowing down at a decreasing rate. The object is speeding up at a decreasing rate.

The position of an object moving along an x axis is given by x = 2 + 2t - 5t 2 + 1t 3, where x is in meters and t is in seconds. What is its average velocity for the time interval t = 1 s and  t= 3 s ? (Your answer must be in m/s and include 1 digit after the decimal place. Maximum of %2 of error is accepted in your answer.)