A cart has initial velocity v0, constant acceleration a, and elapsed time t. A student wants displacement Δx and does not know final velocity v. Which equation gives Δx directly?

A scooter changes speed uniformly from v0 to v over a known displacement Δx, but the time is not measured. Which relationship should be used to find the acceleration?

A runner's initial velocity, final velocity, and elapsed time are known for straight-line motion with constant acceleration. Which equation directly connects those quantities?

A train accelerates uniformly from a known initial velocity to a known final velocity during a measured time. Which equation gives its displacement without first finding the acceleration?

A glider starts with known v0, moves for a known time t, and has known displacement Δx. Which equation can be rearranged to find its constant acceleration?

A cart moves right at +5.0 m/s and accelerates at +2.0 m/s² for 4.0 s. Take right as positive. What is its final velocity?

A robot starts at +3.0 m/s and accelerates at +1.5 m/s² for 8.0 s along a straight track. Take forward as positive. What is its displacement?

A sled starts from rest and accelerates uniformly at +4.0 m/s² for 5.0 s down a straight slope. What displacement does it cover?

A ball is thrown downward at +2.0 m/s and falls for 3.0 s with g = +9.8 m/s². Take downward as positive. What is its velocity then?

A car moving at +22.0 m/s brakes with acceleration -3.0 m/s² for 4.0 s. Take the original motion as positive. What is its displacement?

A cyclist moving at +12.0 m/s has constant acceleration -1.5 m/s² for 6.0 s. Take forward as positive. What is the final velocity?

An elevator is moving upward at +1.0 m/s and accelerates upward at +0.50 m/s² for 6.0 s. Take upward as positive. What is its displacement?

A cart moving at +4.0 m/s accelerates uniformly at +2.0 m/s² through a +10.0 m displacement. What is its final speed?

A car traveling at +30.0 m/s brakes uniformly to rest over a +75.0 m displacement. Take forward as positive. What is its acceleration?

A runner speeds up from +2.0 m/s to +10.0 m/s in 4.0 s. Take the direction of motion as positive. What is the acceleration?

A train starts from rest and moves +125 m in 10.0 s with constant acceleration. Take forward as positive. What is its acceleration?

A cart's velocity changes from +6.0 m/s to +24.0 m/s under a constant acceleration of +3.0 m/s². How long does this take?

A crate starts from rest and accelerates uniformly at +2.0 m/s² through a +81.0 m displacement. How much time is required?

A glider speeds up from +5.0 m/s to +17.0 m/s while moving +44.0 m. Take forward as positive. What is its acceleration?

A package starts at +2.0 m/s and accelerates at +4.0 m/s² until it has moved +40.0 m. Which time satisfies the motion?

A train accelerates from +8.0 m/s to +20.0 m/s in 6.0 s, then travels at +20.0 m/s for 10.0 s. What total distance does it cover?

A bus travels at +15.0 m/s for 12.0 s, then brakes uniformly to rest in 5.0 s. What total distance does it travel?

A lab report gives v0 = 0 m/s, t = 4.0 s, and Δx = 12 m for a cart under constant acceleration. To check it with Δx = v0t + 1/2 at², which quantity is missing?

A drone flies at +5.0 m/s for 4.0 s, then accelerates uniformly from +5.0 m/s to +13.0 m/s over 6.0 s. What total distance does it travel?

A skateboarder starts from rest, accelerates at +1.2 m/s² for 5.0 s, then slows uniformly to rest in 3.0 s. What total distance is traveled?