Distance and Displacement
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Q. 85.A body is projected with a velocity v = (3i+4j)m/s. The maximum height attained by the body is :(g=10m/s2)
Q. A particle is projected with speed u at angle θ with horizontal from ground if it is at same height from the ground at time t1 and t2 then its average velocity in time interval t1 to t2 is
Q. 46.A particle projected vertically upwards returns to the ground in time T.Show the variation of velocity v with respect to time t.
Q. A stone is projected vertically upward at t = 0 second from ground and collision betweenthe ground and the stone is perfectly elastic. The net displacement of stone between t0 second tot = T seconds is zero. The time of flight of stone is T. Pick up theINCORRECT statement.(A) From timet = T/4 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 invelocity fromt =T/8 second to t =3T/8 second.(C) The distance travelled from t = 0 to t = T/4 second is larger than the distancetravelled fromt = 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. 5.a man running on a hill with velocity (2i+3j) m/s w.r.t. ground.he feels that rain drops are falling vertically with velocity 4m/s. If man is running on hill in downward direction with same speed. Find velocity of rain w.r.t. man.
Q. A body travels half of its total path in the last second of its free fall from rest. The duration offall is nearly(A) 3.4 sec(C) 5 sec(B) 4.5 sec(D) 5.5 sec
Q. A man is standing on an international space station which is orbiting earth at an altitude 520km with a constant speed 7.6km/h . If the mans weight is 50 kg his acceleration is 1-7.6km/s2 2-7.6m/s2 3-8.4m/s2 4-10m/s2
Q. A particle is projected with the speed of 20 m/s atangle 37^° with the horizontal as shown in the figure.The velocity vector of the particle at t =-s will be(=-10/mg?)-m/s
Q. A body is projected at an angle of 60^° with horizontal with a speed of 40m/s The speed of the body when velocity becomes perpendicular to initial velocity is(g=10m/s² 1.20\surd3m/s 2.40/\surd3m/s 3.20m/s 4.30m/
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What is the difference between uniform velocity and constant velocity?
Q. from a point on the ground a particle is projected with initial velocity u such that its horizontal range is maximum .the magnitude of average velocity during its ascent
Q. a car covers a semicircular track of radius 5m with a cons†an t speed of 22/7m/s find the magnitude of displacement and average velocity
Q. a stone is tied to on e end of string 50cm long and is whirled in a horizontal circle with cons†an t speed if the stone makes 10 revolution in20sec then what is the magnitude of acceleration of the stone
Q. A particle is projected from ground at an angle 45 degree with initial velocity 20 root 2 ms-1 . The magnitude of average velocity in a time interval from t = 0 to t =3 sec is ?
Q. Position of a particle varies as x=1/2t\ast t+1 , where x is in metres and t is in seconds, the average velocity of the body during t=0 to t=1s is what? (1) 2m/s (2) 1m/s (3) 1.5m/s (4) 0.5m/s
Q. 40. An astronaut orbiting in a spaceship round the earth has a centripetal acceleration of 2.45m/s. The height of spaceship from earth surface is (R= radius of earth)
Q. A projectile is thrown up with a velocity of 8i + 6j m/s. The radius of curvature of projectile at the point of projection is (take g = 10m/s^2) 1. 10 m 2. 12.5 m 3. 15 m 4. 20.5 m
Q. 3.What is the meaning of the following: Space average velocity
Q. 61.a man walks along a circular path of radius r from point A to B as shown in the figure. The displacement traversed by the man will be a.2R b. Sq. root of 3 c.Sq. root of 2 d.R
Q. a stone is projected with a velocity of 30\surd2 m/s at an angle of 45^°.The average horizontal velocity of stone during its motion from starting point to its maximum height is
Q. 13.A balloon going upwards with a velocity of 12ms , is at a height of 65m from the earth at any instant .exactly at this instant a packet drops from it .how much time will the packet take in reaching the earth?(g=10ms2)
Q. A particle is projected with velocity u from a point on an inclined plane.iF v1 IS ITS VELOCITY ON STRIKING THE plane when the range up the plane is max. and v2 the velocity when the range down the plane is max. Relate these 3 vel.
Q. 97. A projectile is projected at an angle of 45 degree with the horizontal with a speed of 15 under root 2 m/s, from the top of height 50m .Find the horizontal displacement of the particle till it reaches the ground.(take g=10m/s2)
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An aircraft executes a horizontal loop of radius 1km with a steady speed of 900 km/h.Compare its centripetal acceleration with acceleration due to gravity?
Q. 6. A particle is projected from ground at angle 45^° with initial veloci20\sqrt{} m/s. Find (a) change in velocity (b) magnitude of average velocity in a time interval from t=0 to t=3s.
Q. 46.A body is projected with velocity v=a+bj. The velocity of body at highest point is?
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Given a particle's velocity- time graph which is in motion along a line. What is the total distance travelled by the particle till t = 20 sec?
62.5 m
37.5 m
12.5 m
87.5 m
Q. An elevator moves floor to ceiling distance is 2 to 5 m. It starts ascending with constant accelaration 1.25 ms^2. One second after start a bolt starts falling from ceiling elevator. Find the time in which bolt strikes the floor of elevator. Also, find displacement of bolt during this time.
Q. A stone is dropped from the top of a tower and travels with a velocity of 24.5m/s in the last second of its journey. Calculate the height of the tower
Q. 71.A particle has initial velocuty ‘u’. Its velocity become four time in time ‘t’. (Given that particle moves with constant acceleration along a straight line) Displacement of particle in time interval ‘2t’ from starting is ?
