Parabola Word Problems

The expression -4.9t² + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. The initial height of the rocket, in meters, is

• 0

• 2

• 4.9

• 50

A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h = −4.9t² + 68.6t. What would be the maximum height, to the nearest meter, attained by the model?

• 243

• 242

• 241

• 240

The height of a swimmer’s dive off a 10-foot platform into a diving pool is modeled by the equation y = 2x² − 12x + 10, where x represents the number of seconds since the swimmer left the diving board and y represents the number of feet above or below the water’s surface. What is the farthest depth below the water’s surface that the swimmer will reach?

• 6 feet

• 8 feet

• 10 feet

• 12 feet

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x² + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

• the initial height of the ball

• the time at which the ball reaches the ground

• the time at which the ball was at its highest point

• the maximum height the ball attained when thrown in the air

The height, y, of a ball tossed into the air can be represented by the equation y = −x² + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

• y = 5

• y = -5

• x = 5

• x = -5

Tags

CCSS.HSF-IF.C.7A

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24. How long will it take for you to hit the maximum height?

• y coordinate of the vertex

• Axis of Symmetry

• x coordinate of the vertex

• y-intercept

In Projectile Motion Quadratic Word Problems, what does the x-value of the vertex always represent?

• Time

• Height

• Distance

• Total

In Projectile Motion Quadratic Word Problems, what does the y-value of the vertex always represent?

• Time

• Height

• Distance

• Total

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25