# Displacement and Velocity

Displacement and velocity are fundamental concepts in the realm of physics, serving as key components in describing the motion of objects. Displacement refers to the change in position of an object relative to its starting point, often denoted by Δx. On the other hand, velocity represents the rate of change of displacement with respect to time, indicating both the speed and direction of motion. Together, these concepts form the basis for analyzing various forms of motion, from simple one-dimensional movement to complex multidimensional trajectories. Understanding displacement and velocity is essential for comprehending the behavior of objects in motion and predicting their future states.

- An object travels North at # 4 m/s# for #7 s# and then travels South at # 2 m/s# for # 4 s#. What are the object's average speed and velocity?
- The position of an object moving along a line is given by #p(t) = 4t - tsin(( pi )/8t) #. What is the speed of the object at #t = 7 #?
- What is the speed of an object that travels from #( -9,0,1) # to #( -1,4,-6 ) # over #2 s#?
- What is the speed of an object that travels from #( -4,6,1) # to #( -1,4,-2 ) # over #2 s#?
- A car traveling 95 km/h is 210 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck?
- An object travels North at #1 m/s# for #8 s# and then travels South at #7 m/s# for # 5 s#. What are the object's average speed and velocity?
- An object has a mass of #2 kg#. The object's kinetic energy uniformly changes from #16 KJ# to #96 KJ# over #t in [0, 4 s]#. What is the average speed of the object?
- A man wearing a bulletproof vest stands still on roller skates. The total mass is 80 kg. A bullet of mass 20 grams is fired at 400 m/s. It is stopped by the vest and falls to the ground. What is the velocity of the man?
- A sprinter runs 100 meters in 11.5 seconds. What is the runner's average running rate in meters per second?
- An object travels North at # 5 m/s# for #1 s# and then travels South at # 3 m/s# for # 2 s#. What are the object's average speed and velocity?
- A plane could fly at an average speed of 694 m/s. Calculate how long it would take the plane to fly around the world (which is #4.00 xx 10^7\ "m"#)?
- A tourist calculated that if he walks to the railroad station with a speed of 4 mph, he’ll miss the train by half an hour, but if he walks with a speed of 5 mph, he’ll reach the station 6 minutes before the departure of the train ?
- An object travels North at #1 m/s# for #8 s# and then travels South at #6 m/s# for # 4 s#. What are the object's average speed and velocity?
- An object travels North at # 5 m/s# for #3 s# and then travels South at # 4 m/s# for # 6 s#. What are the object's average speed and velocity?
- What is the speed of an object that travels from #( -9,4,-6) # to #( -9,-9,2) # over #3 s#?
- An object has a mass of #5 kg#. The object's kinetic energy uniformly changes from #150 KJ# to # 42KJ# over #t in [0,8s]#. What is the average speed of the object?
- For the equation #v_f^2=v_i^2 + 2ad#, how do you solve for #v_i#?
- An object has a mass of #4 kg#. The object's kinetic energy uniformly changes from #18 KJ# to # 42KJ# over #t in [0, 9 s]#. What is the average speed of the object?
- An object travels North at #15 m/s# for #2 s# and then travels South at #2 m/s# for #8 s#. What are the object's average speed and velocity?
- An object travels North at #4 m/s# for #9 s# and then travels South at #6 m/s# for # 2 s#. What are the object's average speed and velocity?