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kondaur [170]
3 years ago
7

A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t

ravels from t=0 seconds to t=4 seconds.
Mathematics
1 answer:
ahrayia [7]3 years ago
7 0

Answer:

10.67 m

Step-by-step explanation:

Velocity is given as;

v(t) = t² − t − 6

To get the distance, we will integrate the velocity equation.

x(t) = ∫v(t) = (t³/3) - (t²/2) - 6t

Thus, from t=0 seconds to t=4 seconds., we have;

(t³/3) - (t²/2) - 6t between 0 and 4.

Thus;

Total Distance = [(4³/3) - (4²/2) - 6(4)] - [(0³/3) - (0²/2) - 6(0)]

Total distance = (64/3) - 8 - 24 = -10.67 m

Distance can't be negative and so we take the absolute value which is 10.67 m

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B) trapezoid is the right answer

Step-by-step explanation:

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A boy, who is 5 ft. 6 in. tall, casts a shadow 2 ft long. Find the height of the pole if it casts a shadow 2 yards long.
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2 feet * 3 = 6 feet

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6 0
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Eli drove 856 miles on 29.4 gallons of gas what was his gas mileage rounded to the nearest mpg?
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5 0
3 years ago
Read 2 more answers
CAN ANYONE HELP ME ANSWER THIS ​
azamat

Answer:

9/100

Step-by-step explanation:

There are 10 marbles in the bag

There are 3 pink marbles.

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P (2nd marble pink) = pink marbles/ total marbles

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