32 NEET previous-year questions on Motion in a Plane, each with the correct answer and a step-by-step solution. Filter by topic and expand any question to see how to solve it.
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1 s
2 s
3 s
4 s
Solution
Time of flight .
20 m
40 m
60 m
80 m
Solution
.
Equal
In ratio 1:2
In ratio 1:3
In ratio 2:3
Solution
. For , . For , . The ranges are equal — this is the complementary angles trick.
0
Solution
The horizontal velocity component never changes during projectile motion (no horizontal acceleration). At any point, including the highest point, .
Note: at the highest point, the vertical component is zero, so the speed equals .
20 m
30 m
40 m
50 m
Solution
Maximum range occurs at : .
Zero
downward
upward
Horizontal
Solution
Throughout projectile motion, the only force on the projectile is gravity. Acceleration is always downward, including at the highest point.
20 m
40 m
50 m
80 m
Solution
Time to fall: .
Horizontal distance: .
20 m/s
25 m/s
30 m/s
35 m/s
Solution
Vertical speed on impact: .
Horizontal speed remains .
Total speed: .
Closest option: 35 m/s.
Solution
Centripetal acceleration , directed toward the centre.
4 m/s
6 m/s
8 m/s
10 m/s
Solution
.
Solution
Use , so .
Maximum
Zero
Equal to kinetic energy
Equal to centripetal force times radius
Solution
Work . The centripetal force is always perpendicular to velocity (and hence displacement), so .
7 N
13 N
17 N
N
Solution
At right angles (, ):
7
Solution
0°
60°
90°
120°
Solution
. With :
.
Therefore .
0
1
Solution
and are perpendicular unit vectors. Their dot product is .
0
1
Solution
By the right-hand rule (and the standard cyclic rule): .
Solution
.
Solution
.
.
Equal when , i.e. .
A straight line
A circle
A parabola
A hyperbola
Solution
Eliminating from and gives a quadratic in :
This is the equation of a parabola.
Solution
.
.
So .
Solution
. .
2 m/s, 8 m/s
2 m/s, 4 m/s
0.5 m/s, 2 m/s
4 m/s, 16 m/s
Solution
Linear speed .
Centripetal acceleration .
Solution
Time period (one full revolution = rad).
Same for both
Stone 1 takes longer
Stone 2 takes longer
Cannot be determined
Solution
Time to fall depends only on the height: , independent of horizontal speed. Both stones reach the ground at the same time.
Solution
At the highest point, only horizontal velocity remains: .
Ratio .
5 and
and 5
5 and 5
10 and 0
Solution
.
.
Solution
.
Solution
At max height, vertical velocity is zero: .
This is half the total time of flight.
10 m
20 m
30 m
40 m
Solution
Half the flight is the rise: .
At max height, : .
Max height: .
rad/s
rad/s
rad/s
rad/s
Solution
The minute hand completes one full rotation ( rad) in .
.
1.0 km
2.0 km
2.8 km
4.0 km
Solution
Plane speed: .
Time to fall: .
Horizontal distance: .
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