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3 years ago

Match the measuring instrument with its description.

Engineering

1 answer:

BARSIC [14]3 years ago

3 0

Answer:

1. Clepsydra

2. Barometer

3. Chronometer

4. Se*tant

Explanation:

1. A clepsydra is a device that measures time by using a regulated fluid flow. It looks like a hour glass.

2. A barometer is a device that measures pressure. The level of liquid inside of its tubes changes with the atmospheric pressure change.

3. A chronometer is used to determine a position while knowing latitude, longitude, and altitude.

4. A se*tant has an arc of a circle and a movable arm pivoted at the center of the circle. It is used to view the horizon and also celestial bodies.

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Answer: At time 18.33 seconds it will have moved 500 meters.

Explanation:

Since the acceleration of the car is a linear function of time it can be written as a function of time as

$a(t)=5(1-\frac{t}{15})$

$a=\frac{d^{2}x}{dt^{2}}\\\\\therefore \frac{d^{2}x}{dt^{2}}=5(1-\frac{t}{15})$

Integrating both sides we get

$\int \frac{d^{2}x}{dt^{2}}dt=\int 5(1-\frac{t}{15})dt\\\\\frac{dx}{dt}=v=5t-\frac{5t^{2}}{30}+c$

Now since car starts from rest thus at time t = 0 ; v=0 thus c=0

again integrating with respect to time we get

$\int \frac{dx}{dt}dt=\int (5t-\frac{5t^{2}}{30})dt\\\\x(t)=\frac{5t^{2}}{2}-\frac{5t^{3}}{90}+D$

Now let us assume that car starts from origin thus D=0

thus in the first 15 seconds it covers a distance of

$x(15)=2.5\times 15^{2}-\farc{15^{3}}{18}=375m$

Thus the remaining 125 meters will be covered with a constant speed of

$v(15)=5\times 15-\frac{15^{2}}{6}=37.5m/s$

in time equalling $t_{2}=\frac{125}{37.5}=3.33seconds$

Thus the total time it requires equals 15+3.33 seconds

t=18.33 seconds

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