Questions
A particle is projected from the ground with an initial speed of v at an angle θ with horizontal. The average velocity of the particle between its point of projection and highest point of trajectory is
detailed solution
Correct option is C
The average velocity is given by vav= displacement time The situation of the particle at the highest point is shown in fig. (4).We know thatMaximum height, H=v2sin2θ2g ….(i)Range, R=v2sin2θg ….(ii)and Time of flight, T=2vsinθg ….. (iii)Now using triangle OPQ, we havevav=OP(T/2)=2(OP)Tor vav=2H2+R2/41/2T …(iv)substituting the values in eq. (iv) from eqs. (i), [ii) and (iii), we getvav=v21+3cos2θTalk to our academic expert!
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