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Free_Kalibri [48]
3 years ago
7

A toy rocket is launched straight up into the air with an initial velocity of 60ft/s from a table 3 ft above the ground. If acce

leration due to gravity is -16ft/s^2, approximately how many seconds after the launch will the toy rocket reach the ground?

Mathematics
1 answer:
Sav [38]3 years ago
5 0
For this case we have the following equation:
 h (t) = at ^ 2 + v * t + h0
 Substituting values we have:
 h (t) = - 16 * t ^ 2 + 60 * t + 3
 We equate the equation to zero:
 -16 * t ^ 2 + 60 * t + 3 = 0
 We look for the roots of the polynomial:
 t1 = -0.04935053979258153
 t2 = 3.7993505397925817
 We are left with the positive root and round:
 t2 = 3.8 s
 Answer:
 
t = 3.8 s
 
option 3
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Pls help me with this and an explanation
SCORPION-xisa [38]

Answer:

The relationship in this equation is linear, but not proportional. If it was proportional, then replacing x with nx should give ny as the answer. Example:

y = 3x

Replace x with 2x.

y' = 3(2x) = 2(3x) = 2y

y' = 2y

This is proportional. But if you replace x with 2x in

y = 3x + 5,

you will not get 2y for y'. This case is not proportiona

5 0
1 year ago
Read 2 more answers
Is (5, 10), (-8, 3), (-1, 7), (-5, 10) A Function ?
ankoles [38]

Answer:

Step-by-step explanation:

Notice that the inputs {5, -8, -1, -5} are all different.  So we can immediately conclude that this is a function.

If the inputs were {5, -8, -1, 5}, this would not be a function, as the same input value (5) would result in two different outputs.

6 0
2 years ago
Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also
FinnZ [79.3K]

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

5 0
1 year ago
A giant bamboo plant grew an average of 18 centimeters per year.The botanist started measuring the plant when it was 5 centimete
Anastaziya [24]
H=height
y=number of years.

we have the next expresion:
h(y)=my+b  

m=the slope of the line, in this case, the slope is equal to "18"; (18 cm/ year).
b=the initial heigth, in this case, the initial heigth is equal to "5" (5 cm).

Therefore, our  expression will be:
h(y)=18y +5

answer: h(y)=18y+5


7 0
2 years ago
Write an algebraic expression for “5 times the sum of a number and 3”
Firdavs [7]

Answer:

5(x+3)

Step-by-step explanation:

:)

3 0
3 years ago
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