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CAREER POINT

Fresher Course for IIT JEE (Main & Advanced)–2017

DAILY PRACTICE PROBLEM SHEET Course : Fresher(XL) Batch Subject : Physics DPPS 4

Topic : Kinematics

Question No. 1 to 2 (2 questions)

At t = 0 a projectile is fired from a point O(taken as origin) on the ground with a speed of 50 m/s at an angle of 53° with the horizontal. It just passes two points A & B each at height 75 m above horizontal as shown.

53°

A B50m

/s

75m

O

Q.1 The horizontal separation between the points A and B is (A) 30 m (B) 60 m (C) 90 m (D) None Q.2 The distance (in metres) of the particle from origin at t = 2 sec.

(A) 260 (B) 100 (C) 60 (D) 120 Q.3 From the top of a tower, two balls are thrown horizontally with velocities u1 and u2 in opposite directions. If

their velocities are perpendicular to each other just before they strike the ground, the height of the tower is

(A) g2

)uu( 221 + (B)

g2)uu( 2

21 − (C) g2

)uu( 22

21 + (D)

g2uu 21

Q.4 Time taken by the projectile projected from P with a velocity v to reach Q is t. Then length PQ equals.

v

θ

P

Q

(A) tv cos θ (B) tv sin θ (C) tv sec θ (D) tv tan θ

Q.5 A particle is released at rest from a certain height H = 80 m. Due to the wind the particle gathers the

horizontal velocity component vx = ay where a =83 s–1 and y is the vertical displacement of the particle from

point of release. Then the speed with which particle strikes the ground is. (A) 50 m/s (B) 30 m/s (C) 40 m/s (D) None of these

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Q.6 Two identical balls are released simultaneously from equal heights h. Balls A is thrown horizontally with velocity v and the ball B is just released. Choose the alternative that best represents the motion of A and B with respect to an observer who moves with velocity v/2 with respect to the ground as shown in the figure.

ground

v/2 h

BA

h

(A)

A B

(B)

BA

(C)

B

(D)

BA

Paragraph for Question No. 7 to 9 Two particles 'A' and 'B' are projected in the vertical plane with initial velocities having same magnitude u from

points (0, 0) and ( , –h) as shown in figure at t = 0. The x-axis is horizontal and y-axis is vertical as shown.

θ

u

y

'A'(0, 0)

h

x

'B'

g = 10 m/s2

( , –h)θ

u

Q.7 The path of particle 'A' with respect to particle 'B' will be (A) parabola (B) straight line parallel to y-axis (C) straight line parallel to x-axis (D) none of these

Q.8 Minimum distance between particle A and B during motion will be

(A) (B) 22 h+ (C) h (D) none of these

Q.9 The time when separation between A and B is minimum is

(A) θcosu

h (B) gh2 (C)

θcosu2 (D)

θcosu2

Q.10 Acceleration versus velocity graph of a particle moving in a straight line starting from rest is as shown in

figure. The corresponding velocity-time graph would be a

v

(A)

v

t

(B)

v

t

(C)

v

t

(D)

v

t

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Q.11 A stone is projected vertically upward at t = 0 second from ground and collision between the ground and the stone is perfectly elastic. The net displacement of stone between t = 0 second to t = T seconds is zero. The time of flight of stone is T. Pick up the INCORRECT statement

(A) From time t = T second to t = 3T/4 second, the average velocity is zero (B) The change in velocity from time t = 0 to t = T/4 second is same as change in velocity from t = T/ second

to t = 3T/8 second (C) The distance traveled from t = 0 to t = T/4 second is larger than the distance travelled from t = T/4

second to t = 3T/4 second (D) The distance traveled from t = T/2 second to t = 3T/2 second is half the distance traveled from t = T/2

second to t= T second Q.12 A stone is projected from a horizontal plane. It attains maximum height 'H' and strikes a stationary smooth

wall and falls on the ground vertically below the maximum height. Assume the collision to be elastic, the height of the point on the wall where ball strikes is –

R

(A) H/2 (B) H/4 (C) 3H/4 (D) none of these Q.13 A car is driven on a straight road. The maximum speed, the car can attain is 24 m/s and the maximum

deceleration that can be applied to the car is 4 m/s2. The car starts from rest and stops after moving a distance of 1032 m. If the minimum time in which it can travel the above distance is 56 sec. the maximum acceleration that the car achieves is -

(A) 1.2 m/s2 (B) 3.6 m/s2 (C) 6 m/s2 (D) 12 m/s2 Q.14 A particle is projected from a horizontal plane (x-z plane) such that its velocity vector at time t is given by

j)ctb(iaV −+= . Its range on the horizontal plane is given by

(A) c

ba (B) cba2 (C)

cba3 (D) None

Q.15 A ball is thrown from a point on ground at some angle of projection. At the same time a bird starts from a

point directly above this point of projection at a height h horizontally with speed u. Given that in its flight ball just touches the bird at one point. Find the distance on ground where ball strikes

(A) ghu2 (B)

gh2u (C)

gh2u2 (D)

ghu

ANSWERS 1. (B) 2. (A) 3. (D) 4. (D) 5. (A) 6. (C) 7. (C) 8. (C) 9. (D)

10. (D) 11. (D) 12. (C) 13. (A) 14. (B) 15. (C)