Motion in a Plane - Result Question 36

39. Two projectiles are fired from the same point with the same speed at angles of projection 60 and 30 respectively. Which one of the following is true?

[2000] (a) Their maximum height will be same

(b) Their range will be same

(c) Their landing velocity will be same

(d) Their time of flight will be same

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Answer:

Correct Answer: 39. (b)

Solution:

  1. (b) Given, u1=u2=u,θ1=60,θ2=30

In 1st  case, we know that range

R1=u2sin2(60)g=u2sin120g

=u2sin(90+30)g=u2(cos30)g=3u22g

In 2nd  case, when θ2=30, then

R2=u2sin60g=u232gR1=R2

[we get same value of ranges].



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