suvat BARNES Flashcards
Position
Distance and direction from origin O
displacement s
Difference in position from origin O
distance d
Magnitude of displacement
.
.
time t
Measure of duration
mass m
Measure of quantity of matter
velocity of v
Rate of change in displacement
speed
Rate of change in distance
acceleration a
Rate of change of velocity
velocity =
change in displacement / change in time
acceleration =
change in velocity / change in time
average velocity =
total displacement / total time
average speed =
total distance / total time
A car moves in a straight line. When t = 0, it passes point P at 12 ms-1. It accelerates for 5 seconds at 1.2 ms-2 until reaching V ms-1. It moves at constant velocity for T seconds, then decelerates at 0.8 ms-2 till it comes to rest.
velocity time graph
Find the value of V
Find the time that the car spends decelerating
The total distance travelled is 600 m. Find the value of T
v = 18
change in time = 22.5
T = 17.9
A toy rocket launches from ground level, accelerating upward at 3.6 ms-2.
After 3 s, the ending turns off, and the rocket moves freely under gravity. Find
The greatest height reached by the rocket
the total time the rocket spends in the air
22m
t = 3.2
appropriate degree of accuracy
number of sig figs used for g’s values
A stone is thrown vertically upwards, with velocity of
6 ms-1, from a platform 1.2 m above ground.
Find the velocity of the stone when it hits the ground.
Use g = 10 ms-2 giving your final answer to an
appropriate degree of accuracy.
v = -7.75
The vertex is
the maximum height above the ground
where/when v = 0
If the object is thrown from ground level*
time to impact
twice that to the highest point
If the object is thrown from ground level* speed on impact
initial speed (not velocity)
An object is thrown upwards from ground level with
initial velocity u.
Find an expression in terms of u and g for the time
it takes to
reach the highest point
return to ground level
t = u/g
t = 2u/g
differentiation v =
ds/dt
integration v =
S a dt
differentiation a =
dv/dt = d^2s / dt^2
integration s =
S v = dt
A toy car moves so that its displacement, s, from a flag
after t seconds is given by s = 2.1 + 1.7t2 - 0.2t3. Find
the velocity and acceleration as a function of t
the instantaneous velocity and acceleration after 5 seconds
a = 3.4 - 1.2t
at t=5, a = -2.6
A particle moves with velocity v = t3 - 7t2 + 10t, where t
is in seconds, v in ms-1.
Find the displacement after 5 seconds
i) Find the times when the particle is instantaneously
at rest
ii) Sketch the velocity-time graph
Find the distance travelled in the first 5 secs
Hence find the average velocity and average speed of the particle
s = -10.4
t = 0,2,5
d = 21.1m
vel = -2.08
speed = 4.22
