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question_answer1)
A boy runs for 10 minutes at a uniform speed of \[\text{9 km }{{\text{h}}^{\text{-1}}}\]. At what speed should he run for the next 20 minutes so that the average speed comes to\[\text{12 km }{{\text{h}}^{\text{-1}}}\]?
A)
\[\text{13}\text{.5 km }{{\text{h}}^{\text{-1}}}\] done
clear
B)
\[\text{10}\text{.2 km }{{\text{h}}^{\text{-1}}}\] done
clear
C)
\[\text{8}\text{.2 km }{{\text{h}}^{\text{-1}}}\] done
clear
D)
\[\text{7}\text{.72 km }{{\text{h}}^{\text{-1}}}\] done
clear
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question_answer2)
Which of the following would probably show the velocity-time graph for a body whose acceleration-time graph is shown in figure?
A)
B)
C)
D)
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question_answer3)
A particle is moving in a straight line with initial velocity u and uniform acceleration a. If the sum of the distances travelled in \[{{t}^{th}}\] and\[{{(t+1)}^{th}}\]seconds is 100 cm, then its velocity after \[t\] seconds in \[cm\text{ }{{s}^{1}}\] is
A)
20 done
clear
B)
30 done
clear
C)
50 done
clear
D)
80 done
clear
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question_answer4)
Two identical balls are at rest side by side at the bottom of a hill. Some time after ball A is kicked up the hill, ball 6 is given a kick up the hill. Ball A is headed downhill when it passes ball B headed up the hill. At the instant when ball A passes ball B, it has the same.
A)
Position and velocity as ball B done
clear
B)
Position and acceleration as ball B done
clear
C)
Velocity and acceleration as ball B done
clear
D)
Displacement and velocity as ball B done
clear
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question_answer5)
Direction: Read the passage carefully and answer the following questions. A dancer is demonstrating dance steps along a straight line. The position-time graph of the dancer is given here.
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The average speed for the dance step depicted by CD is
A)
\[1\text{ }m\text{ }{{s}^{-1}}\] done
clear
B)
\[1.33\text{ }m{{\text{ }}^{s-1}}\] done
clear
C)
\[\text{2}\text{.75 m }{{\text{s}}^{\text{-1}}}\] done
clear
D)
\[\text{0}\text{.89 m }{{\text{s}}^{\text{-1}}}\] done
clear
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question_answer6)
Direction: Read the passage carefully and answer the following questions. A dancer is demonstrating dance steps along a straight line. The position-time graph of the dancer is given here.
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The average velocity of the dancer during time interval between t = 2 s to t = 9 s is
A)
\[1\text{ }m\text{ }{{s}^{-1}}\] done
clear
B)
\[-\text{ }0.57\text{ }m\text{ }{{s}^{-1}}\] done
clear
C)
\[2.75\text{ }m\text{ }{{s}^{-1}}\] done
clear
D)
\[-\text{ }0.29\text{ }m\text{ }{{s}^{-1}}\] done
clear
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question_answer7)
Figure shows the x-t plot of a particle in one-dimensional motion. Two different equal intervals of time are shown. \[Let\,\,{{v}_{1}}\]and \[{{v}_{2}}\] be average speeds in time intervals 1 and 2 respectively. Then
A)
\[{{v}_{1}}>{{v}_{2}}\] done
clear
B)
\[{{v}_{2}}>{{v}_{1}}\] done
clear
C)
\[{{v}_{1}}={{v}_{2}}\] done
clear
D)
Data is insufficient done
clear
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question_answer8)
Consider the given statements and select the option which correctly identifies the true (T) and false (F) statements.
(i) Distance is the magnitude of displacement in all cases. |
(ii) When a body moves with uniform speed, then the average speed is same as instantaneous speed. |
(iii) Average speed is greater than the average velocity if a body is moving in a straight line without reversing its direction. |
(iv) When a body moves with constant velocity, the average velocity is zero. |
A)
B)
C)
D)
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question_answer9)
Match the column I with column II and mark the correct option from the codes given below.
Column I | Column II |
(a) \[\text{36 km }{{\text{h}}^{\text{-1}}}\] | (i) 20000 mm |
(b) \[\text{1 m }{{\text{s}}^{\text{-2}}}\] | (ii) \[\text{980 cm }{{\text{s}}^{\text{-2}}}\] |
(c) \[\text{9}\text{.8 m}{{\text{s}}^{\text{-2}}}\] | (iii) \[\text{12960 km }{{\text{h}}^{\text{-2}}}\] |
(d) \[\text{0}\text{.02km}\] | (iv) \[\text{10 m}{{\text{s}}^{\text{-1}}}\] |
A)
(a) - (iv), (b) - (iii), (c) - (ii), (d) - (i) done
clear
B)
(a) - (iii), (b) - (ii), (c) - (i), (d) - (iv) done
clear
C)
(a) - (ii), (b) - (i), (c) - (iv), (d) - (iii) done
clear
D)
(a) - (i), (b) - (ii), (c) - (iii), (d) - (iv) done
clear
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question_answer10)
A ball is dropped on to the floor from a height of 20 m. It rebounds to a height of 10 m. If the ball is in contact with the floor for 0.1 seconds, what is the average acceleration during contact?
A)
\[\text{142 m }{{\text{s}}^{\text{-2}}}\] done
clear
B)
\[\text{285 m }{{\text{s}}^{\text{-2}}}\] done
clear
C)
\[\text{338 m }{{\text{s}}^{\text{-2}}}\] done
clear
D)
\[\text{564 m }{{\text{s}}^{\text{-2}}}\] done
clear
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question_answer11)
A cyclist starts from centre O and reaches at R along the path OPR as shown in graph. What would you conclude from the velocity- time graph of the cyclist from the given graph?
A)
Velocity changes linearly if acceleration is changing non-linearly. done
clear
B)
Velocity becomes zero if acceleration becomes zero. done
clear
C)
Velocity changes non-linearly if acceleration is changing linearly. done
clear
D)
Velocity becomes uniform if acceleration becomes infinite. done
clear
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question_answer12)
Read the given statements and select the correct option.
Statement 1: A body thrown vertically up with a velocity u reaches the maximum height h after T seconds. At a time 2T seconds its velocity becomes zero. |
Statement 2: A particle thrown vertically up with a velocity comes back to its initial position with same magnitude of velocity but in opposite direction. |
A)
Both statements 1 and 2 are true and statement 2 is the correct explanation of statement 1. done
clear
B)
Both statements 1 and 2 are true but statement 2 is not the correct explanation of statement 1. done
clear
C)
Statement 1 is true but statement 2 is false. done
clear
D)
Statement 1 is false but statement 2 is true. done
clear
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question_answer13)
The velocity of a particle increases from u to v in a time t during which the particle has a uniform acceleration. Which of the following equations applies to the motion?
A)
\[2s=(u+v)\times t\] done
clear
B)
\[a=\frac{V-u}{t}\] done
clear
C)
\[{{v}^{2}}={{u}^{2}}+2as\] done
clear
D)
\[s\text{ }=\text{ }v\text{ }\times \text{ }t\] done
clear
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question_answer14)
The velocity-time graph of an object is shown in the figure. Identify the correct statement(s) regarding this graph.
(i) This is a non uniform velocity-time graph of the object. |
(ii) The velocity of the object is increasing at the same rate during OP and QR. |
(iii) The velocity of the object is decreasing at same rate during PQ and RT. |
A)
Only (i) is correct. done
clear
B)
Only (ii) is correct. done
clear
C)
Only (iii) is correct. done
clear
D)
All (i), (ii) and (iii) are correct. done
clear
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question_answer15)
A boy takes 5 seconds to reach each point from A to B, B to C and C to D as shown in the diagram. If AB = BC = CD = 20 m then which of the following information is correct when the boy reaches point D from point A?
A)
B)
C)
D)
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question_answer16)
Two racing cars of masses \[{{m}_{1}}\] and \[{{m}_{2}}\] are moving in circles of radii \[{{r}_{1}}\] and \[{{r}_{2}}\] respectively. Their speeds are such that each makes a complete circle in the same length of time T. The ratio of angular speed of the first car to that of the second car is
A)
\[{{m}_{1}}:{{m}_{2}}\] done
clear
B)
\[{{r}_{1}}:{{r}_{2}}\] done
clear
C)
\[1:1\] done
clear
D)
\[{{m}_{1}}{{r}_{1}}:{{m}_{2}}{{r}_{2}}\]. done
clear
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question_answer17)
The speed of a train increases at a constant rate \[\alpha \] from zero to v, and then remains constant for an interval, and finally decreases to zero at a constant rate \[\beta \]. If L be the total distance travelled, then the total time taken is
A)
\[\frac{L}{v}+\frac{v}{2}\left( \frac{1}{\alpha }+\frac{1}{\beta } \right)\] done
clear
B)
\[\frac{L}{v}+\frac{2}{v}\left( \frac{1}{\alpha }+\frac{1}{\beta } \right)\] done
clear
C)
\[\frac{L}{v}+2v\left( \frac{1}{\alpha }+\frac{1}{\beta } \right)\] done
clear
D)
\[\frac{L}{v}+\frac{1}{v}\left( \frac{1}{\alpha }+\frac{1}{\beta } \right)\] done
clear
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question_answer18)
A train starts from a station P with a uniform acceleration \[{{a}_{1}}\], for some distance and then goes with uniform retardation \[{{a}_{2}}\] for some more distance to come to rest at the station Q. The distance between the stations P and Q is 4 km and the train takes 4 minutes to complete this journey, then \[\frac{1}{{{a}_{1}}}+\frac{1}{{{a}_{2}}}=\]
A)
\[2\text{ }{{m}^{-1}}\text{ }{{s}^{2}}\] done
clear
B)
\[4\text{ }{{m}^{-1}}\text{ }{{s}^{2}}\] done
clear
C)
\[7.2\text{ }{{m}^{-1}}\text{ }{{s}^{2}}\] done
clear
D)
\[72\text{ }{{m}^{-1}}\text{ }{{s}^{2}}\] done
clear
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question_answer19)
The diagram shows the velocity-time graph of two moving cars P and Q. The graph indicates that
(i) The velocity of car P is increasing at a decreasing rate from 40 s to 45 s in same direction. |
(ii) Car Q is moving with a constant acceleration from 0 to 20 seconds. |
(iii) Acceleration of the car Q is not zero at any point during whole journey. |
(iv) After 20 s, P is behind Q. |
A)
Only (i) and (ii) done
clear
B)
Only (ii) and (iii) done
clear
C)
Only (iii) and (iv) done
clear
D)
Only (iv) and (i). done
clear
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question_answer20)
After jumping out from the plane, a parachutist falls 80 m without friction. When he opens up the parachute, he decelerates at\[2\text{ }m\text{ }{{s}^{-2}}\]. He reaches the ground with a speed of\[4m\text{ }{{s}^{-1}}\]. How long did the parachutist spend his time in the air? (Take\[\text{g=10 m }{{\text{s}}^{\text{-2}}}\])
A)
4s done
clear
B)
16 s done
clear
C)
18 s done
clear
D)
22 s done
clear
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