A stone is released from rest and hits water 2.5 s later. Take downward as positive and g = 9.8 m/s². Which relationship gives the height in one step?

A cart slows from +12 m/s to +3 m/s while moving +45 m. Which relationship finds its acceleration without first finding time?

A drone is at y = 1.5 m and rises at a constant +2.0 m/s for 8.0 s. Which relationship gives its final position directly?

East is positive. A runner starts at +20 m and finishes at -10 m after 6.0 s. Which relationship gives the runner's average velocity?

A toy car starts from rest and travels 18 m in 3.0 s with constant acceleration. Which relationship can be rearranged to find its acceleration?

A ball rolls horizontally off a ledge. To find only the time before it lands, using the ledge height and g = 9.8 m/s², which relationship is needed?

A walkway moves +0.80 m/s while a person walks +1.20 m/s relative to it. Which relationship gives the person's velocity relative to the floor?

A ball leaves a launcher at speed v₀ and angle θ above the horizontal. Which relationship gives the initial vertical component?

A student writes: 'At the top of its flight, the ball's acceleration is zero because it stops.' Take upward as positive. Which correction is right?

A test answer says: 'Distance and displacement are always the same for a moving object.' Which correction should replace it?

A student claims: 'Negative acceleration always means the object is slowing down.' Which correction is best?

A lab note says: 'A projectile's horizontal velocity decreases because gravity pulls it down.' Neglect air resistance. Which correction is accurate?

A student writes: 'On a velocity-time graph, the height at 5 s is the object's position at 5 s.' What should the correction say?

A test solution says: 'Average speed is displacement divided by time.' Which correction is right?

A student writes: 'Two cars moving toward each other have relative speed found by subtracting their speeds.' Which correction is best?

Use the position-time graph. What is the cart's average velocity from 0 s to 6 s?

Use the velocity-time graph. What is the cart's displacement from 0 s to 6 s?

Use the velocity-time graph. What is the acceleration from 2 s to 6 s?

Use the position-time graph. What is the object's displacement from 0 s to 6 s?

Use the vector diagram. What is the magnitude of the velocity vector?

Use the component diagram. What is the magnitude of the resultant velocity?

Use the velocity-time graph. What is the displacement from 0 s to 6 s?

Use the displacement vector. What is the vector's magnitude and direction?

A ball rolls horizontally off a 0.80 m high table at 2.5 m/s. Take g = 9.8 m/s² and neglect air resistance. How far from the base does it land?

A ball is kicked from level ground at 18 m/s and 30° above horizontal. Take g = 9.8 m/s². About how far away does it land?

An airplane moving horizontally at 45 m/s drops a package from 80 m above level ground. Take g = 9.8 m/s². How far forward does it land?

A swimmer moves 2.0 m/s north relative to water while a river flows 1.5 m/s east. If the river is 60 m wide, how far downstream is the swimmer carried?

A train starts from rest, accelerates at 0.80 m/s² for 10 s, then continues at its new constant speed for 15 s. What total distance does it travel?

A scooter starts from rest and accelerates at 2.0 m/s². A bus 30 m ahead moves in the same direction at 6.0 m/s. When does the scooter catch the bus?

A runner speeds up uniformly from 0 to 8.0 m/s in 4.0 s, then runs at 8.0 m/s for 6.0 s. What is the average speed for the whole 10.0 s?

A projectile is launched at 20 m/s and 37° above horizontal. Use sin 37° = 0.60, cos 37° = 0.80, and g = 9.8 m/s². How high is it when x = 30 m?

A ball leaves a 20 m cliff horizontally at 12 m/s. Take g = 9.8 m/s² and neglect air resistance. What is its speed just before impact?

Two cars start 100 m apart. Car A moves east at 20 m/s; Car B moves west at 10 m/s. How far east of A's start do they meet?

A hiker's app shows 6.2 km walked, and the map shows the campsite 1.4 km north of the start. What are those readings, in order?

A cart is at x = 1.5 m at 2.0 s and x = 7.5 m at 5.0 s. What quantity is (7.5 m - 1.5 m)/(5.0 s - 2.0 s)?

A runner completes one 400 m lap in 80 s and ends at the starting line. What do 400 m/80 s and 0 m/80 s report, in order?

A cart's velocity changes from +3.0 m/s to +15.0 m/s in 4.0 s. What are +12.0 m/s and +3.0 m/s², in order?

A radar display reads 25 m/s south, while a speedometer reads 25 m/s. What do they report, in order?

A ball follows a curved 14 m path and lands 10 m from launch at 30° above horizontal. What are 14 m and the 10 m at 30°, in order?

At t = 3.0 s, a sensor reads +18 m/s. Over 0 to 6.0 s, Δx/Δt is +12 m/s. What are these quantities, in order?