Question

Ratio of the velocities of two bodies thrown in upward direction is 2:5. Prove that the
ratio of their height attained will be h1:h2 = 4:25.

Answer 1

Answer:

1. let the velocities be 2x and 5x....
2. use third equation of motion
3. ${v}^{2} = {u}^{2} + 2as$

see the attachment!!for your answer

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Answer 2

Answer:

In order for you to be able to solve kinematic problems, YOU need to MEMORIZE the 3 major kinematic ( no forces; that’s kinetics) formulas. Yes, MEMORIZE!!! They are: v(f)=v(i)+at, a=vt+(1/2)at^2, and v(f)^2=v(i)^2+2as. “s”=distance. That way you are not always confused and hunting for formulas and quick answers. By memorizing, you have ALL the tools and power to solve right in your head. Sometimes, two of the formulas have to be used to solve a problem indirectly. In this problem, only one formula is needed. Your ratio is given as 2/5. Your answer must be given in the same order, the value of the “2” height to the value of the “5” height. Because v(f) in both cases is 0, v(i) in both cases can be 2 and 5, “a” in both cases is the same, you are solving for “s” in both cases. Looking over your memorized and now written down formulas, you see that the third formula has all your information. Apply that formula for each case, taking square roots. Create your ratio. “a” will cancel out in the final ratio. Now, you do the math. Think! MEMORIZE!

Explanation: