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Marrrta
2 months ago
5

Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students

are using a slingshot to launch tennis balls from ground level, and two groups are dropping tennis balls from the fire escape.
Below are descriptions of the parameters with which each group launches or drops their tennis balls.

Group A launches a tennis ball straight up with an initial velocity of 19 meters per second.
Group B launches a tennis ball straight up with an initial velocity of 50 feet per second.
Group C drops a tennis ball from a height of 19 meters.
Group D drops a tennis ball from a height of 50 feet.

Determine which group's activities can be modeled by the following equations, where h is the current altitude of the tennis ball.

1. h = -4.9t^2 + 19. (A-B-C-D)
2. h = -16t^2 + 50t. (A-B-C-D)
3. h = -16t^2 + 50. (A-B-C-D)
4. h = -4.9t^2 + 19t. (A-B-C-D)
Mathematics
2 answers:
Zina [12.3K]2 months ago
7 0

Answer:

1. Group C; 2. Group B; 3. Group D; 4. Group A

Detailed explanation:

All equations presented fit the form

y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0, where v₀ represents initial velocity and h₀ indicates initial height.

The first equation shows no value for v₀ and has h₀ equal to 19, demonstrating that there is no initial velocity, meaning the ball is simply dropped from a height of 19 meters—therefore, it's categorized in group C.

The second equation displays an initial velocity of 50 with no initial height, identifying it as group B.

For the third equation, it has no initial velocity but an initial height of 50, confirming its classification in group D.

Lastly, the fourth equation indicates an initial velocity of 19 and no height, placing it in group A.

Inessa [12.5K]2 months ago
5 0
KINEMATIC EQUATIONS a = g vf = g * t + vo rf = (1/2) * g * t ^ 2 + vo * t + ro g = gravity t = time Vf = final speed Vo = initial speed GroupA: h(t) = - 4.9 * t ^ 2 + 19 * t
Group B: h(t) = - 16 * t ^ 2 + 50 * t
Group C: h(t) = - 4.9 * t ^ 2 +19
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