ISLAMIyA ENGLISH SCHOOL ABU DHABI U. A. E....ISLAMIyA ENGLISH SCHOOL ABU DHABI U. A. E. Page π...
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MATHEMATICS ASSIGNMENT GRADE-O/L (9F)
Topic.Travel Graph DATE:20/5/2017
NAME.------------------------------------------------------------------------------------------------
πΈπ.
Ans. 80km
ISLAMIyA ENGLISH SCHOOL ABU DHABI U. A. E.
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πΈπ .A car, starting from rest, accelerates at a constant rate and attains a speed of 25 m/s after
5 seconds.
The car then travels at this speed for 20 seconds.
The car then slows down at a constant rate and comes to rest in 10 seconds.
(a) Represent this information on the speed-time graph.
ππππ (πππ)
Find, in m/s2,
(b) (i) the acceleration,
(ii) the rate at which the car slows down.( m/s2 )
(c) Find the total distance, in m, that the car has travelled. (2+2+2)
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πΈπ.
The distance between London and Brighton is 84 km. James leaves London at 1 pm and
takes 1 hour and 18 minutes to travel to Brighton.
(a) Show this information on the distance-time graph above. (1) He then stays in Brighton for 1 hour.
(b) Show this information on your distance-time graph. (1) James then travels back to London from Brighton at an average speed of 54 km/hour.
(c) Calculate the time, in hours to one decimal place, taken to travel back to London from Brighton.
(2) (d) Complete your distance-time graph. (1)
Ans.(c) 1.6 Hours
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πΈπ.
The diagram shows the distance-time graph of a train travelling from town A to town B.
Write down the total time in minutes that
(a) the train was moving, β¦β¦β¦β¦.. minutes (1) (b) the train was stationary. ................ minutes (1)
Ans.a) 75 min. b) 45 min. 2009
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πΈπ.
Two towns, S and T, are connected by a road. The distance between S and T is 11 km.
John leaves town S at 10 00 and cycles along this road at a constant speed of 12 km/h.
After 30 minutes he stops and rests for 10 minutes. He then continues his journey to T at
a constant speed, arriving at 11 00.
(a) Draw the distance-time graph for Johnβs journey. (3) Michael leaves town T at 10 00. He walks along the same road towards S for one hour at
a constant speed of 3 km/h.
(b) Draw the distance-time graph for Michaelβs journey. (1)
(c) Write down the time at which John and Michael meet. (1) 2008
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πΈπ.
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π7.
(b) Find the total distance, in metres, travelled by the train.
........................................................ m(2) Find
(c) the average speed, in m/s, of the train,
........................................................ m/s(1) (d) the rate, in m/s2, at which the train slows down.
........................................................ m/s2(1)
Ans.b) 10350 m c) 27m/s d) 0.5
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πΈπ.
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Q9.
π10.
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2016 may
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Q11.
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Q12.
Triangle B is the image of triangle A under the combined transformation of a reflection in
the line y = βx followed by a translation.
(a) On the diagram draw and label the line y = βx. (1) (b) On the diagram draw the image of triangle A after a reflection in the line y = βx.
Label this image C. (1) (c) Describe the translation which maps triangle C onto triangle B. (2)
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Q13.
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Q14.
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Q15.
Ans. a) 75kmb) 25km/h c) 1.5 hours
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Q16.
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Q17.
(3)