A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00 s. Then it continues with a uniform speed for another 6.00 s. Finally, it speeds up with a constant acceleration of 2.02 m/s2 until it reaches a speed of 18.0 m/s. (a) Draw the velocity vs. time and acceleration vs. time graphs for this motion. Numerical values on the graphs are not required. (b) How long does it take for the car to reach a speed of 18.0 m/s? Time is measured from the beginning at t = 0 s (c) What is the total displacement of the car?

I know I have to find the difference in their times to solve this practice problem.

A particle moves along the x-axis. Its position varies with time according to the expression x = -4t + 2t2 where x is in meters and t is in seconds. Determine its displacement in the time intervals t = 0 to t = 1 s and t = 1 s to t = 3 s. Calculate the average velocity from t = 1 s and t = 3 s. Calculate the instantaneous velocity at 2.5 s.

Sarah is standing when she sees a boy running towards her with constant velocity 6.0 m/s. When they are 200 m apart, Sarah starts running to meet him. She runs with a constant acceleration, and by the time they meet, Sarah is running at 7.0 m/s. How long, from the time Sarah begins moving, does it take for them to meet?

George, the absent-minded professor, drives his car 5.0 miles due east alonga straight road to the grocery store. Upon arriving there 15 minutes (0.25 h) after he left home, he suddenly realizes he forgot his grocery list. He immediately turns around and heads back towards home. After travelling 6.8 miles due west in 12 minutes (0.20 h), the car runs out of gas. What is his average speed during the not-quite-completed trip?

In heavy rush-hour traffic, you drive in a straight line at 12 m/s for 1.5 minutes, then you have to stop for 3.5 minutes, and finally, you drive at 15 m/s for another 2.5 minutes. Plot a position-versus-time graph for this motion. Your plot should extend from t = 0 minutes to t = 7.5 minutes. Assume x=0 and t=0 at the start of your motion.

*70. A runner is at the position x = 0 m when time t = 0 s. One hundred meters away is the finish line. Every ten seconds, this runner runs half the remaining distance to the finish line. During each ten-second segment, the runner has a constant velocity. For the first forty seconds of the motion, construct (a) the position-time graph and (b) the velocity-time graph.

Problems 1 through 3, treat the motion of a particle which moves along the s-axis shown in the figure. 0 1 2 3 +s, ft or m 1. The acceleration of a particle is given by a = 2t - 10, where a is in meters per second squared and t is in seconds. Determine the velocity and displacement as functions of time. The initial displacement at t = 0 is so = -4 m, and the initial velocity is vo= 3 m/s. (5 points) 2. The acceleration of a particle is given by a = -ks² where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 5 m ifk = 0.1 m¹s2 and the initial conditions at time t = 0 are so= 3 m and vo= 10 m/s. (5 points) 3. The acceleration of a particle which is moving along a straight line is given by a = -k√√v, where a is in meters per second squared, k is a constant, and v is the velocity in meters per second. Determine the velocity as a function of both time t and…

has started. This meeting is ber Problem 20 Q1. The velocity vs. time graph for an object moving along a straight path is shown in Figure. (i) Find the average acceleration of the object during the time intervals 0 to 5.0 s, 5.0 s to 15 s, and 0 to 20 s. (ii) Find the instantaneous acceleration at 2.0 s, 10 s.? v (m/s) 4 2. 0. 15 (s) 20 -2 -4 -6 earch 立

A car starts from rest at t = 0 s, and speeds up with a constant acceleration of 1.81 m/s2 for 6.00 s. Then it continues with a uniform speed for another 6.00 s. Finally, it speeds up with a constant acceleration of 2.02 m/s2 until it reaches a speed of 18.0 m/s. (a) How long does it take for the car to reach a speed of 18.0 m/s? Time is measured from the beginning at t = 0  (b) What is the total displacement of the car?