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Agata [3.3K]
2 years ago
8

A child runs at speed vc while an adult runs at speed va. if the adult gives the child a head start of distance d, how long will

it take for the adult to catch the child? express your answer in terms of va and vc and
d.
Physics
1 answer:
Lunna [17]2 years ago
4 0
The child runs with speed vc.
The adult runs with speed va.
<span>The adult gives the child a head start of distance d. 
The speed can be calculated according the relationship between distance and time: speed=distance/time 
In our case we are interested in the time ( </span><span>how long will it take for the adult to catch the child)=> time=d/v
</span>Let tc denotes the time of the child and ta of the adult.
tc=D/vc, where D=D+d , D+d=tc*vc, D=tc*vc-d
ta=D/va D=ta*va
tc*vc-d=ta*va
ta=tc*vc-d/va
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D. Light only

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A ball is launched with initial speed v from ground level up a frictionless slope (This means the ball slides up the slope witho
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Answer:

hmax = 1/2 · v²/g

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Due to the conservation of energy and since there is no dissipative force (like friction) all the kinetic energy (KE) of the ball has to be converted into gravitational potential energy (PE) when the ball comes to stop.

KE = PE

Where KE is the initial kinetic energy and PE is the final potential energy.

The kinetic energy of the ball is calculated as follows:

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Where:

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The potential energy is calculated as follows:

PE = m · g · h

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m = mass of the ball.

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h = height.

At  the maximum height, the potential energy is equal to the initial kinetic energy because the energy is conserved, i.e, all the kinetic energy was converted into potential energy (there was no energy dissipation as heat because there was no friction). Then:

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2 years ago
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2 years ago
the minute hand on a clock is 9 cm long and travels through an arc of 252 degrees every 42 minutes. To the nearest tenth of a ce
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Substituting these values into equation 1,

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