NEET Physics Motion in A Plane Questions Solved

#Projectile motion

Difficulty Level:

(1)
31%
(2)
23%
(3)
17%
(4)
31%

#Projectile motion

Difficulty Level:

(1)
56%
(2)
16%
(3)
23%
(4)
7%

#Speed and velocity

Difficulty Level:

(1)
24%
(2)
42%
(3)
22%
(4)
15%

#Projectile motion

(2)

$Let time to reach P from A be t H = \frac{1}{2} {gt}^{2} t = \sqrt{\frac{2 H}{g}} Time to reach C from P be t' \frac{H}{2} = \frac{1}{2} g {(t')}^{2} t' = \sqrt{\frac{H}{g}} = \sqrt{\frac{2 H}{2 g}} = \frac{t}{\sqrt{2}} So total time to go from A to C t + t' = t + \frac{t}{\sqrt{2}} = t [1 + \frac{1}{\sqrt{2}}]$

Difficulty Level:

(1)
12%
(2)
51%
(3)
27%
(4)
13%

#Projectile motion

Difficulty Level:

(1)
35%
(2)
29%
(3)
30%
(4)
8%

#Projectile motion

Difficulty Level:

(1)
44%
(2)
28%
(3)
20%
(4)
10%

#Relative motion

$Initially$

$Using relative motion concept {\vec{V}}_{B, A} = {\vec{V}}_{B} - {\vec{V}}_{A}$

$tanθ = \frac{V_{B}}{V_{A}} = 1 θ = 45 °$

Difficulty Level:

(1)
30%
(2)
32%
(3)
29%
(4)
10%

#Projectile motion

(1)

$Time to go from A to B = t AC = Horizontal displacement in time t = (ucos 60 °) t AC = \frac{ut}{2} In right - angled ∆ ABC AC = AB \cos 30 ° AB = \frac{AC}{\cos 30 °} = \frac{ut}{\sqrt{3}}$

Difficulty Level:

(1)
35%
(2)
42%
(3)
18%
(4)
7%

#Projectile motion

(A)

At any instant,

$At any general point P (x, y) In y - direction, {(u_{y})}^{2} = {(usinθ)}^{2} - 2 gy In x - direction, u_{x} = ucosθ$

$Total K . E . = \frac{1}{2} {mu}_{y}^{2} + \frac{1}{2} {mu}_{x}^{2} = \frac{m}{2} [{(usinθ)}^{2} - 2 gy + {(ucosθ)}^{2}] K . E . = \frac{m}{2} [u^{2} - 2 gy] [∵ \sin^{2} θ + \cos^{2} θ = 1] is of the form y' = mx + c . . . . . . . . . . . . . . . . . Equation of Straight line where y' = K . E . x = y$

Difficulty Level:

(1)
29%
(2)
53%
(3)
14%
(4)
6%

#Speed and velocity

$At time t, A, B & C are on a straight line, so Slope of AC = Slope of BC \frac{V_{2} t - 0}{0 - v_{1} t} = \frac{\frac{Vt}{\sqrt{2}} - 0}{\frac{Vt}{\sqrt{2}} - V_{1} t} \frac{V_{2}}{V_{1}} = \frac{V}{\sqrt{2} V_{1} - V} V = \frac{\sqrt{2} V_{1} V_{2}}{V_{1} + V_{2}}$

Difficulty Level:

(1)
15%
(2)
20%
(3)
23%
(4)
44%