7. A car driver makes a journey in a straight line from A to B, starting from rest. The speed of the car ia maximum, then decreases until the car is at rest at B. The distance travelled by the car t seconds after leavingA is 0.0000117(400t³ - 3t¹) metres.(i)Find the distance AB.(ii)Find the maximum speed of the car.(iii)Find the acceleration of the car(a) as it starts from A,(b) as it arrives at B.(iv) Sketch the velocity-time graph for the journey.8. A particle P moves in a straight line. It starts from rest at a point O and moves towards a point A on the line.During the first 8 seconds P's speed increases to 8 ms with constant acceleration. During the next 12 secondsP's speed decreases to 2 ms-¹ with constant deceleration. P then moves with constant acceleration for 6 seconds,reaching A with speed 6.5 ms-¹.(1) Sketch the velocity-time graph for P's motion.The displacement of P from O, at time t seconds after P leaves O, is s metres.(ii) Shade the region of the velocity-time graph representing s for a value of t where 20 ≤ t ≤ 26.(iii) Show that, for 20 ≤t≤ 26,s = 0.375t²-13t+ 202.

By Bartleby guidline I am solving only first question.

A car driver makes a journey in a straight line from A to B, starting from rest. The speed of the car i a maximum, then decreases until the car is at rest at B. The distance travelled by the car t seconds after leaving A is 0.0000117(400t³ - 3t*) metres. (1) Find the distance AB. (ii) (iii) Find the maximum speed of the car. Find the acceleration of the car (a) as it starts from A, (b) as it arrives at B. (iv) Sketch the velocity-time graph for the journey. int and moves towards a point A on the line.

A car driver makes a journey in a straight line from A to B, starting from rest. The speed of the car i a maximum, then decreases until the car is at rest at B. The distance travelled by the car t seconds after leaving A is 0.0000117(400t³ - 3t*) metres. (1) Find the distance AB. (ii) (iii) Find the maximum speed of the car. Find the acceleration of the car (a) as it starts from A, (b) as it arrives at B. (iv) Sketch the velocity-time graph for the journey. int and moves towards a point A on the line.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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