Kinematics Equations Of Motion And Graphs
A car accelerates uniformly from rest and travels a distance s in time t. If the same car instead accelerates from rest for a time 2t under the same acceleration, what distance will it cover?
A ball is thrown vertically upwards with initial velocity 12 m s⁻¹. Taking upwards as positive and g = 9.81 m s⁻², what is the velocity of the ball 2.0 s after release?
A cyclist accelerates uniformly from 4.0 m s⁻¹ to 10 m s⁻¹ over a distance of 28 m. What is the acceleration?
Which statement correctly describes the motion shown by a horizontal straight line on a displacement-time graph?
The area enclosed between an acceleration-time graph and the time axis represents which quantity?
A car travelling at speed u can stop in distance d under maximum braking, producing constant deceleration. If the same car travels at speed 3u and brakes with the same deceleration, what is the new stopping distance?
On a curved velocity-time graph, how should the instantaneous acceleration at a specific point be determined?
A train accelerates uniformly from rest at 0.80 m s⁻² for 25 s. What distance does it travel during this interval?
A skydiver falls from an aircraft. Initially, the velocity-time graph of her fall is a straight line through the origin, but it gradually curves and eventually becomes a horizontal line at a constant value. Which statement best describes the corresponding acceleration-time graph?
A motorist sees a hazard and applies the brakes. The car decelerates uniformly from 24 m s⁻¹ to rest in 6.0 s. What is the displacement during braking?
A vehicle's velocity-time graph consists of two straight segments: from t = 0 to t = 4.0 s the velocity increases from 0 to 8.0 m s⁻¹, then from t = 4.0 s to t = 10 s the velocity decreases linearly from 8.0 m s⁻¹ to −4.0 m s⁻¹. What is the total displacement over the 10 s?
Why are the four SUVAT equations not applicable to a car that accelerates uniformly for 5 s and then brakes uniformly for the next 3 s, when calculating across the full 8 s interval?
A stone is dropped from rest and falls freely. Air resistance is negligible. After how long has it fallen 45 m? (Take g = 9.81 m s⁻²)