Question

A ball is thrown from a point with a speed $$'{v_0}\,'$$  at an elevation angle of $$\theta .$$  From the same point and at the same instant, a person starts running with a constant speed $$\frac{{'{v_0}\,'}}{2}$$  to catch the ball. Will the person be able to catch the ball ? If yes, what should be the angle of projection $$\theta $$ ?

A. $$No$$
B. $$Yes,{30^ \circ }$$
C. $$Yes,{60^ \circ }$$  
D. $$Yes,{45^ \circ }$$
Answer :   $$Yes,{60^ \circ }$$
Solution :
Yes, the person can catch the ball when horizontal velocity is equal to the horizontal component of ball’s velocity, the motion of ball will be only in vertical direction with respect to person for that,
$$\frac{{{v_0}}}{2} = {v_0}\cos \theta \,\,{\text{or}}\,\,\theta = {60^ \circ }$$

Releted MCQ Question on
Basic Physics >> Kinematics

Releted Question 1

A river is flowing from west to east at a speed of $$5$$ metres per minute. A man on the south bank of the river, capable of swimming at $$10$$ metres per minute in still water, wants to swim across the river in the shortest time. He should swim in a direction-

A. Due north
B. $${30^ \circ }$$ East of north
C. $${30^ \circ }$$ West of north
D. $${60^ \circ }$$ East of north
Releted Question 2

A boat which has a speed of $$5 km/hr$$   in still water crosses a river of width $$1 \,km$$  along the shortest possible path in $$15 \,minutes.$$   The velocity of the river water in $$km/hr$$  is-

A. 1
B. 3
C. 4
D. $$\sqrt {41} $$
Releted Question 3

In $$1.0\,s,$$  a particle goes from point $$A$$  to point $$B,$$  moving in a semicircle of radius $$1.0 \,m$$  (see Figure). The magnitude of the average velocity-
Kinematics mcq question image

A. $$3.14 \,m/s$$
B. $$2.0 \,m/s$$
C. $$1.0 \,m/s$$
D. Zero
Releted Question 4

A ball is dropped vertically from a height $$d$$ above the ground. It hits the ground and bounces up vertically to a height $$\frac{d}{2}.$$  Neglecting subsequent motion and air resistance, its velocity $$v$$  varies with the height $$h$$  above the ground as-

A. Kinematics mcq option image
B. Kinematics mcq option image
C. Kinematics mcq option image
D. Kinematics mcq option image

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