1.1 - Kinematic Relationships Flashcards
1
Q
velocity is the rate of change of…
A
displacement with time
2
Q
Acceleration is the rate of change of…
A
velocity with time or the second differential of displacement with time
3
Q
derive v = u+at from a=dv/dt
A
a=dv/dt dv=adt u_v dv=0_t adt [v]vu=[at]0t v-u=at-0 v=u+at
4
Q
derive v=ds/dt from v=ds/dt
A
v=ds/dt ds=vdt 0_s ds=0_t vdt 0_s ds=0_t v+atdt 0_s ds=0_t udt + 0_t atdt [s]0s=[ut]0t + [1/2at^2]0t s-0=ut-0+1/2at^2-0 s=ut+1/2at^2
5
Q
the gradient of a graph is the…
A
rate of change
6
Q
the rate of change of displacement is also known as…
A
velocity
7
Q
the rate of change of velocity is also known as…
A
acceleration
8
Q
the area under a vt graph is the…
A
displacement
9
Q
the area under a at graph is the…
A
change in velocity (NOT RATE OF CHANGE OF VELOCITY)
10
Q
what must you put in every integration calculation twice?
A
dt
11
Q
give the differential calculus notation for v and a in terms of s
A
