Motion in a Plane is a Class 11 Physics chapter that carries about 3.4% of the Physics questions in NEET. Practise it with 44 questions covering 2 topics, each with an explanation.
Sample questions on Motion in a Plane with answers
8 questions from the practice bank, spread across the chapter's topics. The full set is in the app.
Question 1: Projectile Motion
The trajectory of a projectile is described by an equation of the form:
- A y = x²/tanθ
- B y = x tanθ − gx²/(2u²cos²θ)
- C y = u t sinθ only
- D y = x tanθ + gx
Answer: B. y = x tanθ − gx²/(2u²cos²θ)
Why: Eliminating t from the two components gives a parabola.
Question 2: Relative Velocity and Vector Addition
The dot product of two mutually perpendicular vectors is:
- A maximum
- B zero
- C equal to the product of their magnitudes
- D negative
Answer: B. zero
Why: The dot product A·B = ABcosθ; for perpendicular vectors, θ=90° and cosθ=0, so the dot product is zero.
Question 3: Projectile Motion
A projectile is launched at 45° with a speed of 20 m/s. Taking g = 10 m/s², its horizontal range is:
- A 40 m
- B 28.3 m
- C 20 m
- D 80 m
Answer: A. 40 m
Why: R = u² sin2θ/g = 400 × 1/10 = 40 m.
Question 4: Relative Velocity and Vector Addition
The dot product of A = 2î + 3ĵ and B = î − ĵ is:
- A 5
- B 1
- C −5
- D −1
Answer: D. −1
Why: A·B = (2)(1) + (3)(−1) = −1.
Question 5: Projectile Motion
A ball thrown vertically up inside a train moving uniformly is seen by a person on the ground to follow:
- A a straight vertical line
- B a parabolic path
- C a circular path
- D a straight inclined line
Answer: B. a parabolic path
Why: The ground observer sees both the vertical motion and the horizontal velocity of the train.
Question 6: Relative Velocity and Vector Addition
The magnitude of the resultant of two vectors of magnitudes 3 units and 4 units acting at right angles is:
- A 12 units
- B 5 units
- C 1 unit
- D 7 units
Answer: B. 5 units
Why: R = √(3² + 4²) = 5 units.
Question 7: Projectile Motion
The acceleration of a projectile at the highest point of its path is:
- A g, directed horizontally
- B zero
- C g, directed downward
- D g/2
Answer: C. g, directed downward
Why: Gravity acts throughout the motion, and air resistance is neglected.
Question 8: Relative Velocity and Vector Addition
A boat's velocity relative to the water is directed straight across a river. Its velocity relative to the ground is:
- A the same as its velocity relative to the water
- B the vector sum of its velocity relative to water and the river's velocity
- C always zero
- D independent of the river's flow
Answer: B. the vector sum of its velocity relative to water and the river's velocity
Why: By relative velocity addition, velocity relative to ground = velocity relative to water + velocity of water relative to ground.