suvat BARNES

Question 1

Position

Answer 1

Distance and direction from origin O

Question 2

displacement s

Answer 2

Difference in position from origin O

Question 3

distance d

Answer 3

Magnitude of displacement

Question 4

.

Answer 4

.

Question 5

time t

Answer 5

Measure of duration

Question 6

mass m

Answer 6

Measure of quantity of matter

Question 7

velocity of v

Answer 7

Rate of change in displacement

Question 8

speed

Answer 8

Rate of change in distance

Question 9

acceleration a

Answer 9

Rate of change of velocity

Question 10

velocity =

Answer 10

change in displacement / change in time

Question 11

acceleration =

Answer 11

change in velocity / change in time

Question 12

average velocity =

Answer 12

total displacement / total time

Question 13

average speed =

Answer 13

total distance / total time

Question 14

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

Answer 14

v = 18
change in time = 22.5
T = 17.9

Question 15

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

Answer 15

22m
t = 3.2

Question 16

appropriate degree of accuracy

Answer 16

number of sig figs used for g’s values

Question 17

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.

Answer 17

v = -7.75

Question 18

The vertex is

Answer 18

the maximum height above the ground
where/when v = 0

Question 19

If the object is thrown from ground level*
time to impact

Answer 19

twice that to the highest point

Question 20

If the object is thrown from ground level* speed on impact

Answer 20

initial speed (not velocity)

Question 21

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

Answer 21

t = u/g
t = 2u/g

Question 22

differentiation v =

Answer 22

ds/dt

Question 23

integration v =

Answer 23

S a dt

Question 24

differentiation a =

Answer 24

dv/dt = d^2s / dt^2

Question 25

integration s =

Answer 25

S v = dt

Question 26

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

Answer 26

a = 3.4 - 1.2t
at t=5, a = -2.6

Question 27

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

Answer 27

s = -10.4
t = 0,2,5
d = 21.1m
vel = -2.08
speed = 4.22