Angle of projection, Mechanical Engineering

A ball is thrown from a point with a speed V  at an angle of projection  θ . From the same point and  at the same instant, a person starts running with a constant speed V/2 to catch the ball. Will the  person be able to catch the ball? If yes, what should be the angle of projection?
 
Ans) Horizontal distance covered by the ball= horizontal range= (hope u know the formula) R=[V2sin2(theta)]/g

time taken by the ball to reach the ground=T=2Vsin(theta)/g

note;] remember that time taken by the person to reach the spot and time taken

         by the ball to reach the ground(same spot)..is THE SAME;

time taken by the person to reach the spot= time taken by the ball..

    distance/speed (man)          =        2v sin theta/g  [ball]

    range/speed[man]               =             '''' ''''

   ( V2sin 2 theta/g) / v/2        =              '''' ''''

       things cancel out in the equation and finally u get     sin (theta) = sin 2 (theta)                                                         

this can happen if theta = 00 ...............................which is not possible

...therefore  2 theta= 180-theta.........by trigonometry

               3 theta = 180           =====>theta=600

Posted Date: 3/12/2013 2:40:36 AM | Location : United States







Related Discussions:- Angle of projection, Assignment Help, Ask Question on Angle of projection, Get Answer, Expert's Help, Angle of projection Discussions

Write discussion on Angle of projection
Your posts are moderated
Related Questions
Evaluate the chebyshev Spacing for a function y = 2 x 2 - x for the range 0 ≤ x ≤ 2 where four precision point are required. For these precision points, determine φ 2 , φ 3 , φ 4

What are objectives of the footings? Objectives of the footings: After studying this unit, you should be able to: a. Know different types of footings and the situation wh

If crankshaft oil seal seating area found ok : Replace with a new oil seal and ensure the seal seats in the stator plate properly and while fixing the stator plate ensure using sta

Design a concrete pedestal for a steel column carrying a dead load of 600 kN and an imposed load of 600 kN. Assume the base plate is 350 mm x 350 mm M20 grade concrete and F e , 41

Three Particle System Suppose we have two particles of masses  m 1  and  m 2   already fixed in space at distance  r 12  from each other. Let us bring in a third particle of

An experiment to determine the convection coefficient associated with airflow over the surface of a thick stainless steel casting involves insertion of thermocouples in the casting


Express the compression force C in the hydraulic cylinder of the car hoist in terms of the angle Θ, see Fig Q3. The mass of the hoist is negligible compared with the mass of the ve

Compute the outside diameter of the shaft: A hollow shaft of diameter ratio is 0.4 is needed to transit 600 kW at 120 rpm. The maximum torque being 20% greater than the mean t

What are the advantages and disadvantages hard working over cold working