Question and Answers Forum

a ball is droped from a height 20 m. Given that it rebounce with a velocity of (3/4) that which it hit the ground find the time interval between the first and second rebounce.

$$\mathrm{a}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{droped}\:\mathrm{from}\:\mathrm{a}\:\mathrm{height}\:\mathrm{20}\:\mathrm{m}.\:\mathrm{Given}\:\mathrm{that}\:\mathrm{it} \\ $$$$\mathrm{rebounce}\:\mathrm{with}\:\mathrm{a}\:\mathrm{velocity}\:\mathrm{of}\:\frac{\mathrm{3}}{\mathrm{4}}\:\mathrm{that}\:\mathrm{which}\:\mathrm{it}\:\mathrm{hit}\:\mathrm{the}\:\mathrm{ground} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{time}\:\mathrm{interval}\:\mathrm{between}\:\mathrm{the}\:\mathrm{first}\:\mathrm{and}\:\mathrm{second}\:\mathrm{rebounce}. \\ $$

Question Number 86476 Answers: 0 Comments: 1

show that sin^(−1) α=−i ln (α±(√(α^2 −1)))−(π/2)

$$\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{sin}^{−\mathrm{1}} \alpha=−{i}\:\mathrm{ln}\:\left(\alpha\pm\sqrt{\alpha^{\mathrm{2}} −\mathrm{1}}\right)−\frac{\pi}{\mathrm{2}} \\ $$

Question Number 86472 Answers: 1 Comments: 0

Question Number 86461 Answers: 3 Comments: 0

Use exponential representation of sin θ and cos θ to show that a) sin^2 θ + cos^2 θ = 1 b) cos^2 θ − sin^2 θ = cos2θ c) 2 sinθ cosθ = 2sin2θ.

$$\mathrm{Use}\:\mathrm{exponential}\:\mathrm{representation}\:\mathrm{of}\:\mathrm{sin}\:\theta\:\mathrm{and}\:\mathrm{cos}\:\theta\:\mathrm{to}\:\mathrm{show}\:\mathrm{that} \\ $$$$\left.\mathrm{a}\left.\right)\:\mathrm{sin}^{\mathrm{2}} \:\theta\:+\:\mathrm{cos}^{\mathrm{2}} \:\theta\:=\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{b}\right)\:\mathrm{cos}^{\mathrm{2}} \theta\:−\:\mathrm{sin}^{\mathrm{2}} \theta\:=\:\mathrm{cos2}\theta \\ $$$$\left.\mathrm{c}\right)\:\mathrm{2}\:\mathrm{sin}\theta\:\mathrm{cos}\theta\:=\:\mathrm{2sin2}\theta. \\ $$

Question Number 86496 Answers: 0 Comments: 2

The number of integral terms in the expansion of (5^(1/2) + 7^(1/8) )^(1024) is

$$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{integral}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{expansion}\:\mathrm{of}\:\:\:\left(\mathrm{5}^{\frac{\mathrm{1}}{\mathrm{2}}} +\:\mathrm{7}^{\frac{\mathrm{1}}{\mathrm{8}}} \right)^{\mathrm{1024}} \:\mathrm{is} \\ $$

Question Number 86454 Answers: 1 Comments: 0

pls check the question below

$$\:{pls}\:{check}\:{the}\: \\ $$$${question}\:{below} \\ $$

Question Number 86453 Answers: 1 Comments: 3

Question Number 86447 Answers: 0 Comments: 1

Question Number 86431 Answers: 2 Comments: 0

∫(√(x−(√(x^2 +1)) )) dx

$$\int\sqrt{{x}−\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\:}\:{dx} \\ $$

Question Number 86428 Answers: 0 Comments: 2

∫ (dx/(a cos x + b sin x))?

$$\int\:\:\frac{\mathrm{dx}}{\mathrm{a}\:\mathrm{cos}\:\mathrm{x}\:+\:\mathrm{b}\:\mathrm{sin}\:\mathrm{x}}? \\ $$

Question Number 86426 Answers: 2 Comments: 0

solve in R x^3 −5=[x]

$${solve}\:{in}\:{R} \\ $$$${x}^{\mathrm{3}} −\mathrm{5}=\left[{x}\right] \\ $$

Question Number 86416 Answers: 0 Comments: 1

(√(8=)) 68]

$$\sqrt{\mathrm{8}=} \\ $$$$\left.\mathrm{68}\right] \\ $$$$ \\ $$

Question Number 86407 Answers: 1 Comments: 1

Question Number 86406 Answers: 2 Comments: 0

let u^→ =i^→ −j^→ +k^→ and v^→ =2i^→ +j^→ +3k^→ (o,i,j,k) orthonormal 1) calculate ∣∣u^→ ∣∣ ,∣∣v^→ ∣∣ ,u^→ .v^→ 2) calculate cos(u^→ ,v^→ ) 3)calculate u^→ Λv^→ and sin(u^→ ,v^→ )

Pg 1184 Pg 1185 Pg 1186 Pg 1187 Pg 1188 Pg 1189 Pg 1190 Pg 1191 Pg 1192 Pg 1193

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