Velocity-Time Graphs and Acceleration · CSEC Additional Mathematics
21 past-paper questions on Velocity-Time Graphs and Acceleration, part of Differentiation, from every CSEC Additional Mathematics paper on Quelpr.
- 8(a)(i)5 marks· Additional Mathematics Q8 8(a)(i)On the following grid, draw a displacement-time graph to display this information.
- 8(a)(i)3 marks· Additional Mathematics Q8 8(a)(i)On the graph paper provided, draw a velocity-time graph to illustrate the motion of the particle.
- 8(a)(i)3 marks· Additional Mathematics Q8 8(a)(i)Using the graph sheet provided, draw a velocity-time graph to illustrate the motion of the car.
- 8(a)(i)3 marks· Additional Mathematics Q8 8(a)(i)On the grid provided on page 25, draw a speed-time graph showing the information above.
- 8(a)(i)3 marks· Additional Mathematics Q8 8(a)(i)On the answer graph sheet, provided as an insert, draw a velocity-time graph to represent the motion of the particle.
- 8(a)(i)2 marks· Additional Mathematics Q8 8(a)(i)What distance did the car travel from Point A towards Point B before starting to decelerate?
- 8(a)(ii)5 marks· Additional Mathematics Q8 8(a)(ii)Calculate the deceleration of the car as it goes from 25 m s⁻¹ to 10 m s⁻¹.
- 8(a)(ii)3 marks· Additional Mathematics Q8 8(a)(ii)Determine the TOTAL distance travelled by the car.
- 8(a)(ii)3 marks· Additional Mathematics Q8 8(a)(ii)Calculate the acceleration of the particle.
- 8(a)(ii)3 marks· Additional Mathematics Q8 8(a)(ii)Calculate the distance the car travelled between the two traffic lights.
- 8(a)(iii)3 marks· Additional Mathematics Q8 8(a)(iii)Calculate the average speed of the car over this journey, giving your answer in kmh⁻¹.
- 8(a)(iii)1 mark· Additional Mathematics Q8 8(a)(iii)For how long did the car maintain the speed of 10 m s⁻¹?
- 8(a)(iii)4 marks· Additional Mathematics Q8 8(a)(iii)Calculate the length of time after the first car started that this second car meets it.
- 8(a)(iv)2 marks· Additional Mathematics Q8 8(a)(iv)Determine the average velocity of the car over the journey from Point A to Point C.
- 8(b)(i)3 marks· Additional Mathematics Q8 8(b)(i)In the space below, sketch a velocity-time graph to illustrate the motion of the vehicle.
- 8(b)(i)3 marks· Additional Mathematics Q8 8(b)(i)On the grid provided on page 27, draw a distance-time graph to illustrate the motion of the bus.
- 8(b)(ii)7 marks· Additional Mathematics Q8 8(b)(ii)Calculate the length of time the vehicle maintains constant speed.
- 8(b)(ii)2 marks· Additional Mathematics Q8 8(b)(ii)Determine the distance from Station B to Station C.
- 8(b)(iii)2 marks· Additional Mathematics Q8 8(b)(iii)Calculate the maximum velocity attained.
- 8(b)(iii)3 marks· Additional Mathematics Q8 8(b)(iii)Determine the average speed from Station A to Station B, in km/h.
- 8(b)(iv)2 marks· Additional Mathematics Q8 8(b)(iv)Determine the acceleration of the vehicle.
Related topics in Differentiation
- Chain Rule 7
- Concept of the Derivative as Gradient 1
- Derivative as a Rate of Change (Kinematics and Related Rates) 15
- Derivative of x^n 2
- Derivatives of sin ax and cos ax 5
- Equations of Tangents and Normals to Curves 9
- Notation for the First Derivative 1
- Product and Quotient Rules 11
- Second Derivative Test for Stationary Points 11
- Second Derivatives of Functions 2
- Simple Rules of Differentiation 3
- Stationary Points (Maxima/Minima) 15