Topic 11 (mechanics)

Question 1

differentiation stages

Answer 1

displacement – velocity – acceleration

Question 2

variable acceleration

Answer 2

changes with time
expressed as a function of time
(same for velocity and displacement)

Question 3

considerations for speed

Answer 3

magnitude

Question 4

velocity of displacement time graph

Answer 4

gradient at that instant
velocity is rate of change of displacement
v= ds divided by dt

Question 5

acceleration of velocity time graph

Answer 5

gradient at that instant
acceleration is rate of change of velocity
a= dv divided by dt or dsqaureds divided by dt squared

Question 6

differentiate

Answer 6

displacement > velocity > acceleration

Question 7

integrate

Answer 7

acceleration > velocity > displacement

Question 8

max height/displacement

Answer 8

v=0

ds divided by dt = 0

Question 9

max velocity

Answer 9

dv divided by dt = 0

a = 0

Question 10

velocity time graph

Answer 10

area under is displacement
integrate velocity = displacement

integrate acceleration = velocity (with respect to time)