Solve the following mathematical problems:

A place of stone fell from a balloon when it was flying in the upward direction with a velocity 20 m/sec. What will be the height of the balloon when the stone hit the ground in 10 seconds?

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank Recruitment Test for Officer (General) Examination Held On: 25.05.2018 || 2018 গণিত

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প্রশ্নে বলা হচ্ছে যে, 20ms^-1 সেকেন্ডে ঊর্ধ্বমূখী কোন বেলুন হতে একটি পাথর 10 সেকেন্ডে ভূমিকে স্পর্শ করলে তখন ভূমি হতে বেলুনের উচ্চতা কত হবে?

এটি পদার্থবিজ্ঞানের অঙ্ক । অঙ্কটির সমাধান করতে হলে বেশ কয়েকটি বিষয়ের উপর সম্যক ধারণা থাকতে হবে।

অভিকর্ষজত্বরণ (g) হলো প্রতি সেকেন্ডে পড়ন্ত বস্তুর বেগ যার মান ঊর্ধ্বমুখী হলে হবে g = -9.8ms^-2এবং বেগ (Velocity) কে u দ্বারা সূচিত করা হবে। আর সময়কে t দ্বারা সূচিত করে, উচ্চতাকে h দ্বারা সূচিত করতে হবে। এখন আসুন অঙ্কের সমাধানে চলে যাইঃ

পাথরের ক্ষেত্রে, $h = u t t + \frac{1}{2} g t^{2}$

= $= (20 \times 10) + \frac{1}{2} \times 9.8 \times 10^{2} = 200 + 490 = 690 m$

বেলুনের ক্ষেত্রে, $h = u t - \frac{1}{2} g t^{2} = (20 \times 10) - \frac{1}{2} \times 9.8 \times 10^{2} = 200 - 490 = 290 m u = 20 m s^{- 1}, g = 9.8 m s^{- 2}; t = 10 s e c o n d$

The total hight of ballon is = (690 +290)m = 980m (answer)

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Differentiate financial and economic costs with suitable example. The total revenue (TR) and Average Cost (AC) functions of a firm are given by $T R = 4350 Q - 13 Q^{2} A C = Q^{2} - 5.5 Q + 150 + 675 Q^{2}$ Where Q refers to quantity of output. Find the profit maximizing level of output and maximum profit.

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank || Assistant Director (19-04-2019) || 2019 গণিত

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Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output,

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank || Assistant Director (19-04-2019) || 2019 গণিত

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Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What are the tax revenue at equilibrium output? Does the government have a balanced budget?

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank || Assistant Director (19-04-2019) || 2019 গণিত

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Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output when investment increases from $70 to $90.

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank || Assistant Director (19-04-2019) || 2019 গণিত

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Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What has happened to the relationship of government spending and tax revenues? Why?

Created: 3 months ago | Updated: 3 months ago

Job Solution Bangladesh Bank Bangladesh Bank || Assistant Director (19-04-2019) || 2019 গণিত

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Solve the following mathematical problems:

A place of stone fell from a balloon when it was flying in the upward direction with a velocity 20 m/sec. What will be the height of the balloon when the stone hit the ground in 10 seconds?

Related Questions

Differentiate financial and economic costs with suitable example. The total revenue (TR) and Average Cost (AC) functions of a firm are given by TR=4350Q-13Q2AC=Q2-5.5Q +150+675Q2 Where Q refers to quantity of output. Find the profit maximizing level of output and maximum profit.

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output,

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What are the tax revenue at equilibrium output? Does the government have a balanced budget?

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

Find the equilibrium output when investment increases from $70 to $90.

Suppose C=$35+0.80Yd, I = $70, G= $65, Tx = 0.10Y.

What has happened to the relationship of government spending and tax revenues? Why?