What is the final velocity of a car that starts at 22 m/s and accelerates at 3.78 m/s for distance of 45 m

A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of

frosja888 [35]

1. 27.3 m/s

The velocity of the gazelle at any time is given by:

$v=u+at$

where

u is the initial velocity

a is the acceleration

t is the time

Here we have:

u = 0 (the gazelle starts from rest)

$a=4.2 m/s^2$

t = 6.5 s

Substituting the data, we find the gazelle's top speed:

$v=0+(4.2)(6.5)=27.3 m/s$

2. 3.8 s

The distance covered by the gazelle is

d = 30 m

We know that the gazelle accelerates during the first part of the motion and then it continues at constant speed. We need to find first if the gazelle completes the race during the first part of its motion (accelerated motion); to do this, we can calculate what would be the distance covered by the gazelle before reaching the top speed, after t = 6.5 s:

$d'=\frac{1}{2}at^2 = \frac{1}{2}(4.2)(6.5)^2=88.7 m$

Which is larger than 30 m: this means that the gazelle covers the 30 m during its accelerated motion. Therefore, we can use again the equation:

$d=\frac{1}{2}at^2$

And substituting d = 30 m, we find the time:

$t=\sqrt{\frac{2d}{a}}=\sqrt{\frac{2(30)}{4.2}}=3.8 s$

3. 10.6 s

In this case, the distance the gazelle must cover is 200 m.

We know that in the first 6.5 s, the gazelle covers a distance of 88.7 m.

In the second part of the motion, the gazelle continues at its top speed, which is:

v = 27.3 m/s

The gazelle still have to cover a distance of

$d' = 200-88.7 =111.3 m$

Therefore, the time taken to cover this distance is

$t'=\frac{d'}{v}=\frac{111.3}{27.3}=4.1 s$

So, the total time the gazelle needs to cover 200 m is

t = 6.5 + 4.1 = 10.6 s

6 0

4 years ago

a scientist heats a piece of iron until it is glowing white–hot. he places the metal inside a metal box. he removes all of the a

torisob [31]

Heat transfer through Radiation is responsible.

This is heat transfer that does not require a material medium or contact is not required.

4 0

3 years ago

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A typical nuclear power plant converts 0.01% of the mass of its fuel into energy through nuclear reactions. how much fuel would

Svetlanka [38]

The fuel will be for all the city is 2,000 kilograms

8 0

3 years ago

1. how are weather data used to make forecasts?

andreev551 [17]

1. Weather data is used to make forecasts first by analyzing a weather report to discover it's parts, the purpose of it is to include a variety of weather map symbols, predict weather events and produce mock forecasts which the intent shows how data is collected and analyzed. The same techniques are used to analyze weather data. By creating a web from the start, they'll be able to complete an assessment where they'd be creating another web which outlines the steps a forecaster takes to produce a forecast.
2. Temperature is the measurement of the amount of energy in an object or area, dew point is the temperature that the air must be cooled without adding or eliminating water vapour in order to reach saturation. Air pressure is what is controlled by the air pressure regulator in whatever the air is flowing through.

3 0

4 years ago

Calculate the net force experienced by Mr. Ferrari if he has a mass of 100 kg and an acceleration of 3.5 m/s/s.

saveliy_v [14]

The answer is 350. the formula for net force is f=ma which means you multiply the mass times he acceleration. 100 times 3.5 is 350

7 0

3 years ago

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