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M1 Question!
3) A racing car moves with constant acceleration along a straight horizontal road. It passes the point O with speed 12m/s. It passes the point A 4s later with speed 60m/s.
a) Show that the acceleration of the car is 12m/s^2.
b) Find the distance OA.
The point B is the mid-point of OA.
c) Find, to 3 significant figures, the speed of the car when it passes B.
a) Show that the acceleration of the car is 12m/s^2.
b) Find the distance OA.
The point B is the mid-point of OA.
c) Find, to 3 significant figures, the speed of the car when it passes B.
turtle2
3) A racing car moves with constant acceleration along a straight horizontal road. It passes the point O with speed 12m/s. It passes the point A 4s later with speed 60m/s.
a) Show that the acceleration of the car is 12m/s^2.
b) Find the distance OA.
The point B is the mid-point of OA.
c) Find, to 3 significant figures, the speed of the car when it passes B.
a) Show that the acceleration of the car is 12m/s^2.
b) Find the distance OA.
The point B is the mid-point of OA.
c) Find, to 3 significant figures, the speed of the car when it passes B.
a)
u = 12 t = 4 v = 60
a= (v-u)/t = (60-12)/4 = 48/4 = 12ms^-2
b)
s= ut + 1/2 at^2 = (12x4) + (1/2x12x16) = 48 + 96 = 144 metres.
c) cant be bothered, watching smallville.
a. u = 12 v = 60 t = 4
using v = u + at
60 = 12 + 4a
48 = 4a
a = 12
b. can use v^2 = u^2 + 2as or s = 1/2(u + v)t or s = ut + 1/2at^2
i would personally use the s = 1/2(u +v)t version as it uses figures from the questions so there is less room for error
s = 1/2(12 + 60)*4
s = 0.5*72*4
s = 144
c. B is 72m from O
using v^2 = u^2 + 2as
v^2 = 144 + 1728
v^2 = 1872
v = 43.3
hope that helps
using v = u + at
60 = 12 + 4a
48 = 4a
a = 12
b. can use v^2 = u^2 + 2as or s = 1/2(u + v)t or s = ut + 1/2at^2
i would personally use the s = 1/2(u +v)t version as it uses figures from the questions so there is less room for error
s = 1/2(12 + 60)*4
s = 0.5*72*4
s = 144
c. B is 72m from O
using v^2 = u^2 + 2as
v^2 = 144 + 1728
v^2 = 1872
v = 43.3
hope that helps
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