iran-konkur

Papers (13)
2024
konkur-riazi_1403_ordibehesht_specialized 5
2023
konkur-riazi_1402_general 30 konkur-riazi_1402_tir_specialized 8
2022
konkur-riazi_1401_specialized 30
2021
konkur-riazi_1400_specialized 39
2020
konkur-riazi_1399_specialized_old-curriculum 37
2019
konkur-riazi_1398_specialized_new-curriculum 44
2018
konkur-riazi_1397_specialized 40
2017
konkur-riazi_1396_specialized 38
2016
konkur-riazi_1395_specialized 33
2015
konkur-riazi_1394 32
2014
konkur-riazi_1393 43
2013
konkur-riazi_1392 51
2023 konkur-riazi_1402_tir_specialized

8 maths questions

Q42 Constant acceleration (SUVAT) Vertical projection from ground level View
42. A bullet is fired vertically upward from the Earth's surface and reaches a height of 42 meters above the Earth's surface, and its kinetic energy decreases by 30\%. What is the maximum height (in meters) this bullet reaches above the Earth's surface?
(air resistance is negligible and $g = 10\,\dfrac{\mathrm{m}}{\mathrm{s}^2}$)
(1) 96 (2) 120 (3) 140 (4) 149
Q45 Constant acceleration (SUVAT) Two bodies meeting or catching up View
45. On a straight path, starting from a point, object A moves with constant acceleration $a$ from rest, and at $t = 2\,\mathrm{s}$, object B starts from the same point and moves with constant acceleration $a = 0.5\,\dfrac{\mathrm{m}}{\mathrm{s}^2}$ from rest. If at $t = 6\,\mathrm{s}$ the two objects meet each other, what is their distance at $t = 10\,\mathrm{s}$ in meters?
(1) $4.4$ (2) $8.8$ (3) $13.2$ (4) $24.8$
Q46 Constant acceleration (SUVAT) Two bodies meeting or catching up View
46. A bullet is released from a point 100 meters above the ground. One second later, another bullet is released from the same point. At the moment the first bullet reaches the ground, what change does the distance between the two bullets undergo? (Assume air resistance is negligible.)
(1) remains constant. (2) increases.
(3) decreases. (4) first decreases and then increases.
\fbox{Calculation Space}
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Q47 Constant acceleration (SUVAT) Two bodies meeting or catching up View
47. Car A moves at a constant speed of $8\,\dfrac{\text{m}}{\text{s}}$ along a straight path, and car B moves behind it at a constant speed of $20\,\dfrac{\text{m}}{\text{s}}$ in the same direction. When the distance between them decreases to 46 meters, car A begins to decelerate with a constant acceleration of $2\,\dfrac{\text{m}}{\text{s}^2}$ and simultaneously car B also decelerates with a constant acceleration of $4\,\dfrac{\text{m}}{\text{s}^2}$. What is the speed of car B at the moment it reaches car A, in meters per second?
(1) $2$ (2) $8$ (3) $4$ (4) $6$
Q48 Travel graphs View
48. Two moving objects start from the origin at the same time, and their velocity–time graphs are as shown in the figure. At the moment when the two objects move in opposite directions, how does the distance between them change?
\begin{minipage}{0.4\textwidth} [Figure: velocity-time graph showing two lines A and B; line A starts from $-6$ on the V-axis and increases; line B starts from $-4$ on the V-axis and increases with a different slope; time axis shows values 2 and 8 in seconds.] \end{minipage} \begin{minipage}{0.55\textwidth}
  1. [(1)] Increases by 48 meters.
  2. [(2)] Decreases by 48 meters.
  3. [(3)] Increases by 64 meters.
  4. [(4)] Decreases by 64 meters.
\end{minipage}
Q50 Constant acceleration (SUVAT) Velocity-time or acceleration-time graph interpretation View
50. The equation of motion of an object with mass $500\,\text{g}$ moving along the $x$-axis is, in SI units, $\vec{F} = (6 - 3t)\hat{i}$. The net average force exerted on this object during the time interval $t_1 = 1\,\text{s}$ to $t_2 = 3\,\text{s}$, in newtons, is:
(1) $3\hat{i}$ (2) $-3\hat{i}$ (3) $6\hat{i}$ (4) $-6\hat{i}$
\hrule
Space for calculations
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Q51 Forces, equilibrium and resultants View
51 -- A body with mass $5\,\text{kg}$ is placed on a horizontal surface and the coefficients of static and kinetic friction between the body and the surface are $0.5$ and $0.4$ respectively. If we apply a horizontal force of $26\,\text{N}$ to the body, find the acceleration of the body and the force the body exerts on the surface in SI units. $\left(g = 10\,\dfrac{\text{m}}{\text{s}^2}\right)$
  • [(1)] $10\sqrt{29}$ and $0.2$
  • [(2)] $25\sqrt{5}$ and $0.2$
  • [(3)] $10\sqrt{29}$ and $1.2$
  • [(4)] $25\sqrt{5}$ and $1.2$
Q52 Circular Motion 1 Flat Curve with Friction (Unbanked Road) View
52 -- A car with mass $2\,\text{t}$ moves on a horizontal surface at a constant speed of $18\,\dfrac{\text{km}}{\text{h}}$ along a circular path with radius $20\,\text{m}$. How many Newtons is the centripetal force and which force provides it?
  • [(1)] $2500$ -- kinetic friction force
  • [(2)] $2500$ -- static friction force
  • [(3)] $1250$ -- kinetic friction force
  • [(4)] $1250$ -- static friction force