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Mathematical Tools & Rectilinear Motion — JEE Main Physics MCQs with Solutions

Free JEE Main Physics Mathematical Tools & Rectilinear Motion MCQs with step-by-step solutions. Practise online on Prepizo — no login needed.

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Sample questions with solutions

Q1 — medium · theory
A particle moving in a straight line covers half 24-5.  
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q2 — medium · theory
height 7zˆ cm in a plane keeping z coordinate
A. (2)  ✓ Correct
B. 3x + 15 y (4) 3x  15y  7zˆ
C. (4)
D.  3v02 2 (2)  2v0 3
Q3 — medium · theory
(4) 24-2. (2) ANSWER KEY 24-4. (1) 24-5. (3)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q4 — medium · theory
(4) 23-2. (1) 23-4. (2) 22-1. (4)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q5 — medium · numerical
= R√2√1 + cos ������
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q6 — medium · numerical
F = –ax2  ma = –ax2 h  2ght  1 ( g)t2
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q7 — medium · theory
23-1. If two A and B having equal magnitude R
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q8 — medium · theory
initial velocity of 150 m/s. The ratio of velocity
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q9 — medium · theory
A car accelerates from rest at a constant rate 
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q10 — medium · theory
(1) 22-3. (2) 24-3. (1) 21-2. (3) 21-3. (2)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q11 — medium · numerical
Given, 102.5 = u + (2n − 1) & 23-1.
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q12 — medium · numerical
V = – 100 – 10 t 21-4. MATHEMATICAL TOOLS & RECTILINEAR MOTION
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q13 — medium · theory
v0   t2 and 0  v0   t2  v0  t2 21-5. We know,
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q14 — medium · theory
the distance with speed 6 m/s. The other half 23-2.
A. 8.8 m/s (2) 10 m/s (3) |A⃗ + B⃗| = 2Rcos  ✓ Correct
B. 9.2 m/s (4) 8 m/s
C. 9m / s2 (2) 6.25m / s2 vector is 2 3 . The magnitude of
D. 12.5m / s2 (4) 5m / s2 x-component of the vector will be :
Q15 — medium · theory
Form the v-t graph shown. The ratio of MATHEMATICAL TOOLS & RECTILINEAR MOTION
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q16 — medium · theory
21-6. Two vectors P and Q have equal
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q17 — medium · theory
A particle is moving along the x-axis with its 20-5. MATHEMATICAL TOOLS & RECTILINEAR MOTION
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q18 — medium · theory
580
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q19 — medium · numerical
t = Area under the graph from t = 20 to t = 25 sec
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q20 — medium · numerical
V = t + t2 Now
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q21 — medium · theory
The relation between time 't' and distance 'x'
A. a = –2v3 (2) a = –5v5 (E) B travels faster than A  ✓ Correct
B. a = –3v2 (4) a = –4v4 Choose the correct answer from the options
C. (A) and (E) only
D. (B) and (E) only
Q22 — medium · theory
A ball is thrown vertically upward with an (3)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q23 — medium · theory
21-7.
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q24 — medium · numerical
coordinate with time ‘t’ given by x(t) = 10 + 8t
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q25 — medium · theory
(3) 21-5. (2) 23-3. (3) 21-7. (2) 21-8. (4)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q26 — medium · theory
18
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q27 — medium · numerical
������ = ������������ + ������������ (Differentiating wrt time)
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q28 — medium · theory
 for some time after which it decelerates at a  
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q29 — medium · theory
A tennis ball is dropped on to the floor from a moving normal to the plane which contains
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D
Q30 — medium · theory
Three vectors OP⃗, OQ⃗ and OR⃗ each of
A. Option A  ✓ Correct
B. Option B
C. Option C
D. Option D