Question

In an exhibition, you win a prize if you toss a coin into a small dish placed. The dish is on a sheep 2.1 m away at a height h from the hand. The coin is tossed into the dish if its velocity is 6.4 ms^-1 at an angle of 60⁰. Find h.

• A. 1.2 m
• B. 1.35 m
• C. 1.5 m
• D. 1.65 m

Answer 1

Answer: (C)

1.5 m

Answer 2

y = x tan θ - $\frac{gx^{2}}{2u^{2}\cos^{2}\theta}$

= 2.1 tan 60 - $\frac{9.8(2.1)^{2}}{2 \times 6.4^{2} \times (1/2)^{2}}$

= 2.1 $\sqrt{3} - \frac{4.9 \times 4.4}{10.24} = 1.5m$