One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2, then what will happen if B runs at a uniform velocity of 11 m/sec?

A will again overtake B and they will never meet again and again

A will again overtake B and they will meet again

A will again overtake B and they will never meet again

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2 and B runs at a uniform velocity of 11 m/sec then when will they meet?

After 4 seconds from start when the motorcycle B will overtake the motor car A

After 3 seconds from start when the motorcycle B will overtake the motor car A

After 4 seconds from start when the motorcycle B will overtake the motor car A

After 2 seconds from start when the motorcycle B will overtake the motor car A

After 6 seconds from start when the motorcycle B will overtake the motor car A

A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t1 = time taken to go from A to B; t2 = time taken to go from B to C and AB = a, BC = b. If a = b and the velocities of the particle at A, B, C be p, q, r respectively, then, what is the relation between p2, q2 and r2?

They are in any arbitrary series

9 + Mcqs in Calculus Application Motion in a Straight Line 2 Page 1 McqOptions

1.	An express train is running behind a goods train on the same line and in the same direction, their velocities being u₁ and u₂ (u₁ > u₂) respectively. When there is a distance x between them, each is seen from the other. At which point it is just possible to avoid a collision f₁ is the greatest retardation and f₂ is the greatest acceleration which can be produced in the two trains respectively?
A.	(u<sub>1</sub> u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)
B.	(u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> f<sub>2</sub>)
C.	(u<sub>1</sub> u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> f<sub>2</sub>)
D.	(u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)
Answer» D. (u<sub>1</sub> + u<sub>2</sub>)<sup>2</sup> = 2x(f<sub>1</sub> + f<sub>2</sub>)

Discussion

2.	Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, then what will be the maximum distance?
A.	38m
B.	36m
C.	42m
D.	40m
Answer» E.

Discussion

3.	Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, when will their distance be maximum?
A.	At t = 8
B.	At t = 6
C.	At t = 4
D.	At t = 2
Answer» D. At t = 2

Discussion

4.	One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², then what will happen if B runs at a uniform velocity of 11 m/sec?
A.	A will not overtake B
B.	A will again overtake B and they will never meet again and again
C.	A will again overtake B and they will meet again
D.	A will again overtake B and they will never meet again
Answer» E.

Discussion

5.	One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², B runs at a uniform velocity of 11 m/sec how many times will they meet?
A.	3
B.	2
C.	4
D.	1
Answer» C. 4

Discussion

6.	One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs at a uniform velocity of 11 m/sec then when will they meet?
A.	After 3 seconds from start when the motorcycle B will overtake the motor car A
B.	After 4 seconds from start when the motorcycle B will overtake the motor car A
C.	After 2 seconds from start when the motorcycle B will overtake the motor car A
D.	After 6 seconds from start when the motorcycle B will overtake the motor car A
Answer» B. After 4 seconds from start when the motorcycle B will overtake the motor car A

Discussion

7.	One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs with a uniform velocity of 9 m/sec, is it possible for B to overtake A?
A.	No
B.	Yes
C.	Data not sufficient
D.	Answer cannot be determined
Answer» B. Yes

Discussion

8.	Two motor cars on the same line approach each other with velocities u₁ and u₂ respectively. When each is seen from the other, the distance between them is x. If f₁ and f₂ to be the maximum retardation of the two cars then a collision can be just avoided then at which condition collision can just be avoided?
A.	(u<sub>1</sub><sup>2</sup>f<sub>2</sub> u<sub>2</sub><sup>2</sup>f<sub>1</sub>) = 2f<sub>1</sub>f<sub>2</sub>(x)
B.	(u<sub>1</sub><sup>2</sup>f<sub>2</sub> + u<sub>2</sub><sup>2</sup>f<sub>1</sub>) = 2f<sub>1</sub>f<sub>2</sub>(x)
C.	(u<sub>1</sub><sup>2</sup>f<sub>2</sub> + u<sub>2</sub><sup>2</sup>f<sub>1</sub>) = f<sub>1</sub>f<sub>2</sub>(x)
D.	(u<sub>1</sub><sup>2</sup>f<sub>2</sub> u<sub>2</sub><sup>2</sup>f<sub>1</sub>) = f<sub>1</sub>f<sub>2</sub>(x)
Answer» C. (u<sub>1</sub><sup>2</sup>f<sub>2</sub> + u<sub>2</sub><sup>2</sup>f<sub>1</sub>) = f<sub>1</sub>f<sub>2</sub>(x)

Discussion

9.	A particle moving along a straight line with uniform acceleration, passes successively through three points A, B, C. If t₁ = time taken to go from A to B; t₂ = time taken to go from B to C and AB = a, BC = b. If a = b and the velocities of the particle at A, B, C be p, q, r respectively, then, what is the relation between p², q² and r²?
A.	A.P
B.	G.P
C.	H.P
D.	They are in any arbitrary series
Answer» B. G.P

Discussion

Explore topic-wise MCQs in Mathematics.

Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min2. Before they meet again, then what will be the maximum distance?

Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min2. Before they meet again, when will their distance be maximum?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2, then what will happen if B runs at a uniform velocity of 11 m/sec?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2, B runs at a uniform velocity of 11 m/sec how many times will they meet?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2 and B runs at a uniform velocity of 11 m/sec then when will they meet?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec2 and B runs with a uniform velocity of 9 m/sec, is it possible for B to overtake A?

Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, then what will be the maximum distance?

Two particles start from rest from the same point and move along the same straight path; the first starts with a uniform velocity of 20 m/minute and the second with a uniform acceleration of 5 m/ min². Before they meet again, when will their distance be maximum?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², then what will happen if B runs at a uniform velocity of 11 m/sec?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec², B runs at a uniform velocity of 11 m/sec how many times will they meet?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs at a uniform velocity of 11 m/sec then when will they meet?

One motor car A stands 24m in front of a motorcycle B. Both starts from rest along a straight road in the same direction. If A moves with uniform acceleration of 2 m/sec² and B runs with a uniform velocity of 9 m/sec, is it possible for B to overtake A?