Science 10 H
Mr. Bellman
Physics Extra
More Kinematics Equations
notes wkst
(14 )
A
EQUATIONS: d = vi t + ½ at
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B
2
C
d = vi + vf x t
2
D
vf = vi + at
2
2
vf = vi + 2ad
THESE ARE CALLED THE BIG 4
E
But don’t forget the ones from chapter 8 and 9
v = Δd
Δt
F
a = Δv
Δt
A hint for solving these problems is write out the data given and then find the equation that has the matching data.
Problem 1:
2
A car accelerates from rest at 10 m/s for 5 seconds. Determine the distance travelled (displacement) in m.
2
data given: a = 10 m/s , t = 5 s , vi = 0 m/s
find d
use equation A
answer = 125 m
Problem 2: Determine the time (in s) it takes for a rock sitting on a cliff to fall 20 m down to the ground.
2
Assume gravity is 9.8 m/s downward .
2
data given: a = -9.8 m/s , vi = O m/s , d = - 20 m find t
use equation A and rearrange
answer = 2.02 s
2
Problem 3: A car is travelling at 30 m/s. It approaches a stop light and accelerates at – 8 m/s , determine the distance needed to
stop.
2
data given: a = - 8 m/s , vi = 30 m/s , vf = 0 m/s find d
use equation D and rearrange
answer = 56.25 m
Problem 4 : An object is thrown upwards at a speed of 26 m/s. Determine the max height ( in m ) it will reach.
2
data given: : a = -9.8 m/s , vi = 26 m/s , vf = 0 m/s find d
use equation D and rearrange
answer = 34.49 m
Problem 5 : Determine the velocity ( in m/s ) needed to throw an object 50 m high into the air.
2
data given: a = -9.8 m/s , d = 50 m , vf = 0 m/s find vi
use equation D and rearrange
answer = 31.3 m/s
Problem 6: A car travelling 15 m/s skids to a stop in 2.2 s. Determine the skidding distance in m.
data given :
vi = 15 m/s , vf = 0 m/s t = 2.2 s find d
use equation B
answer = 16.5 m
Problem 7 : A rocket car built by OKM shop students needs a speed of 56 m/s and a distance of 1100 m to lift off the ground.
2
Determine the acceleration of the rocket car ( in m/s ) and the time required to reach that speed ( in s ).
data given: vi = 0 m/s , vf = 56 m/s d = 1100 m find a and t
first use D to find a
second use C to find t
2
answer = 1.43 m/s
answer = 39.2 s