The coordinates of a bird flying in the xy-plane are given by x(t)=αt and y(t)=3.0m−βt2, where α=2.4m/s and β=1.2m/s2.part a:Calculate the velocity vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the xcomponent is 3 and the y component is 4, then you should enter 3,4.part b:Calculate the acceleration vector of the bird as a function of time. Give your answer as a pair of components separated by a comma. For example, if you think the x component is 3 and the y component is 4, then you should enter 3,4

Answers

Answer 1

Answer: α $=2.4 (m)/(s)$

β $=1.2 (m)/(s^2)$

$x(t)=at$

$y(t)=3-$ β $t^2$

$Vx(t)=$ α

$Vy(t)=-2$ β $t$

$vectorV=[$ α $;-2$ β $t]$

$ax(t)=0$

$ay(t)=-2$ β $t$

$vector a [0;-2$ β $t]$

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A hair dryer uses 72,000 joules of energy in 60 seconds. What is the power of this hair dryer?

Answers

The power of an object is the rate of work done or energy. Here, the energy used by the hair dryer is 72000 Joules. Hence, the power used by the dryer is 1200 watt.

What is power ?

The power of an object is a physical quantity that, measures the rate of the work done by the object or the energy used by the object. The energy used is equal to the work done by it. Hence both have the same standard unit of joule.

Power is the work done or energy divided by time. Hence, the unit of power is J/s which is equivalent to watt.

hence power = work done or energy / time

Given the energy used by the hair dryer = 72000 Joules

time = 60 seconds.

then, power = 72000 J/60 s = 1200 watt.

Therefore, the power used by the dryer is 1200 watt.

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Answer:

1200 Watts is the answer

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