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Firlakuza [10]
3 years ago
12

A particle initially at rest moves along in a line so that its acceleration is a(t) = 10/(t+1) for t>=0.

Physics
1 answer:
ddd [48]3 years ago
4 0

Answer: 16.09m/s

Explanation:

Given the acceleration a(t) = 10/(t+1), to derive the velocity function, we need integrate the acceleration function.

v(t) = integral{10/t+1}dt

Since all constants always come out of the integral, the equation becomes;

v(t) = 10integral{1/t+1}dt

One of the integral law is that if the numerator of the function to be integrated is the differential of the denominator, the resulting answer will be natural logarithm of the denominator i.e ln(t+1) since the denominator is ln(t+1) and if differentiated will give us 1 which is the numerator hence, the reason for the answer ln(t+1)

v(t) = 10ln(t+1)

@ t= 4, the velocity of the particle

v(4) = 10ln(4+1)

v(4) = 10ln5

v(4) = 16.09m/s²

Therefore, the velocity of the particle at time t=4 is 16.09m/s

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3 years ago
A boy throws a ball vertically up. It returns to the
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31.25 m

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Given :-

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7 0
3 years ago
Which event is an example of a contact force?
Scorpion4ik [409]

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3 years ago
Harrison wanted to find out what soil works best for growing roses. He grew them in potting soil, clay, sand, and soil he found
zepelin [54]

Answer:

This question is asking to identify the following variables:

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Dependent variable (DV): HEIGHT AND NUMBER OF LEAVES

Control group: None in this experiment

Constant: SAME ROSE PLANT, SAME TIME INTERVAL (1 WEEK)

Explanation:

Independent variable in an experiment is the variable that is manipulated or changed by the experimenter in order to effect a measurable outcome. In this case, the independent variable is the TYPE OF SOIL used.

Dependent variable is the measurable variable that responds to changes made to the independent variable. In this experiment, the dependent variable is the HEIGHT AND NUMBER OF LEAVES of each rose.

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3 years ago
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