Motion in a Straight Line Test

Result

Motion in a Straight Line Test - 15

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Question 1
4 / -1

A car, starting from rest, accelerates at the rate f through a distance S, then continues at constant speedfor time t and then decelerates at the rate f /2to come torest. If the total distance traversed is 15 S, then

A

B

C

D

Solution
Question 2
4 / -1

The displacement x of a particle varies with time t,x = ae^–αt + be^βt, where a, b, α and β are positive constants. The velocity of the particle will

A
Go on decreasing with time

B
Be independent of α and β

C
Drop to zero when α = β

D
Go on increasing with time

Solution
Question 3
4 / -1

A car moving with a velocity of 10 m/s can be stopped by the application of constant force F in a distance of 20 m. If the velocity of the car is 30 m/s, it can bestopped by this force in

A

B
20 m

C
60 m

D
180 m

Solution
Question 4
4 / -1

The displacement of a particle is given by y = a + bt + ct²– dt⁴. The initial velocity and acceleration are respectively.

A
b, –4d

B
–b, 2c

C
b, 2c

D
2c, – 4d

Solution
Question 5
4 / -1

A car moving with a speed of 40 km/hr. can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/hr., what is the minimum stopping distance

A
8 m

B
2 m

C
4 m

D
6 m

Solution
Question 6
4 / -1

An elevator car, whose floor to ceiling distance is equal to 2.7 m, starts ascending with constant acceleration of 1.2 ms^–2, 2 sec after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is

A
√0.54 s

B
√6 s

C
0.7 s

D
1 s

Solution
Question 7
4 / -1

A particle moves along a straight line such that its displacement at any time t is given by
S = t³– 6t² + 3t + 4 metres
The velocity when the acceleration is zero is

A
3 ms^–1

B
–12 ms^–1

C
42 ms^–1

D
–9 ms^–1

Solution
Question 8
4 / -1

The position x of a particle with respect to time t along x–axis is given by x = 9t²–t³, where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +xdirection

A
32 m

B
54 m

C
81 m

D
24 m

Solution
Question 9
4 / -1

If a body starts from rest and travels 120 cm in the 6thsecond, then what is the acceleration

A
0.20 m/s²

B
0.027 m/s²

C
0.218 m/s²

D
0.03 m/s²

Solution
Question 10
4 / -1

If a car at rest accelerates uniformly to a speed of 144 km/hr. in 20 s. Then it covers a distance of

A
20 m

B
400 m

C
1440 m

D
2880 m

Solution