Sample 1Medium
A figure shows a ball projected from level ground with speed 20 m/s at 30° above the horizontal; it follows a parabola and lands back on the same level. Take g = 10 m/s². What is the maximum height of the parabola above the ground?
- A
10 m
- B
5 m
- C
20 m
- D
2.5 m
Show the answer
The answer is B.Maximum height H = u² sin²θ / 2g = (400 × 0.25) / 20 = 5 m.
- A.
10 m drops the factor 2 in the denominator of u² sin²θ / 2g.
- C.
20 m is u²/2g, the height for a vertical throw, not for 30°.
- D.
2.5 m uses sin²θ twice or halves the correct result; it is not u² sin²θ / 2g.
NCERT: Class 11 Physics, Chapter 3
Sample 2NEET level
A ball is projected from level ground with a speed of 20 m/s at an angle of 60° to the horizontal. Taking g = 10 m/s², the maximum height reached by the ball is
- A
5 m
- B
15 m
- C
20 m
- D
30 m
Show the answer
The answer is B.H = u² sin²θ / 2g = (400 × 0.75) / 20 = 15 m. Only the vertical component u sinθ = 10√3 m/s decides the height.
- A.
Uses sin²30° = 0.25 instead of sin²60° = 0.75.
- C.
Uses u²/2g, the height for a vertical throw, ignoring the angle.
- D.
Drops the factor 2 in the denominator: u² sin²θ / g.
NCERT: Class 11 Physics, Chapter 3 (Motion in a Plane), Projectile motion