Motion in a Plane Test

Result

Motion in a Plane Test - 24

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Weekly Quiz Competition

Question 1
4 / -1

A point initially at rest moves along x-axis. Its acceleration varies with time as a = (6t + 5) in m/s². If it starts from origin, the distance covered in 2 seconds is

A
20m

B
18m

C
16m

D
25m

Solution
Question 2
4 / -1

A bird flies for 4 s with a velocity of |t – 2|ms^–1 in a straight line, where t = time in seconds. It covers a distance of

A
8m

B
6m

C
4m

D
2m

Solution
Question 3
4 / -1

A particle position as a function of time is described as x = 5 cos(2t + 1) What is the average velocity of the particle from t = 0 to t = 3s ?

A
0.356 ms^-1

B
2.21 m/s

C
2.56 m/s

D
3.31 m/s

Solution
Question 4
4 / -1

A cyclist starts from place A and covers a distance of 2400 m to reach the place B. If the maximum possible acceleration of the cyclist is 2m/s² and its maximum retardation is 4m/s², what is the least time the cyclist can undertake the journey from A to B ?

A
28.28 s

B
56.30 s

C
58.91 s

D
60.00 s

Solution
Question 5
4 / -1

A blind person after walking 10 steps in one direction each of length 80cm, turns randomly to the left or to right by 90º. After walking a total of 40 steps, the maximum displacement of the person from its starting point can be

A
zero

B
8 √2 m

C
16√2 m

D
32 m

Solution
Question 6
4 / -1

An express train moving at 30 m/s reduces its speed to 10 m/s in a distance of 240 m. If the braking force is increased by 20% in the beginning, find the distance that it travels before coming to rest.

A
338 m

B
270 m

C
300 m

D
225 m

Solution
Question 7
4 / -1

From the top of a tower of height 50m, a ball is thrown vertically upwards with a certain velocity. It hits the ground 10s after it is thrown up. How much time does it take to cover a distance AB where A and B are two points 20 m and 40 m below the edge of the tower ? (g = 10 ms^–2)

A
2.0 s

B
1.0 s

C
0.5 s

D
0.4 s

Solution
Question 8
4 / -1

A point initially at rest moves along x axis. Its acceleration varies with time as a = (6t + 5) in ms^–2. If it starts from origin, the distance covered in 1 second is

A
3 m

B
3.5 m

C
4 m

D
4.5 m

Solution
Question 9
4 / -1

The distance between two moving particles at any time is a. If ν be their relative velocity and ν₁ and ν₂ be the components of ν along and perpendicular to a the time when they are closest to each other is

A

B

C

D

Solution
Question 10
4 / -1

A constant power P is applied to a particle of mass m. The distance travelled by the particle when its velocity increases from ν₁ to ν₂ is (neglect friction)

A

B

C

D

Solution