IM A1 Semester 2 Review (U5-7)

Front

What is the initial velocity of an object launched directly upward if its height is represented by the equation s(t) = –16t² + 64t + 80?

Back

64 feet.

Front

How do you determine the next number of squares in a pattern?

Back

Identify the pattern in the sequence and apply it to find the next term.

Front

What is the function that represents an initial amount of $150 decreasing by 2/3 each year?

Back

y = 150(\frac{1}{3})^x.

Front

How do you find the maximum height of a toy rocket launched vertically with an initial velocity?

Back

Use the vertex formula t = -b/(2a) from the quadratic equation h(t) = -16t² + vt.

Front

What does the vertex of a parabola represent in the context of projectile motion?

Back

The maximum height of the projectile.

Front

What is the general form of a quadratic function?

Back

f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you identify the roots of a quadratic function from its factored form?

Back

Set each factor equal to zero and solve for x.

Front

What is the significance of the coefficient of t² in the height equation of a projectile?

Back

It determines the direction of the parabola (upward or downward) and the rate of acceleration due to gravity.

Front

What is the formula to calculate the height of a projectile at time t?

Back

h(t) = -16t² + vt + h₀, where v is the initial velocity and h₀ is the initial height.

Front

How do you interpret the y-intercept of a quadratic function in a real-world context?

Back

It represents the initial height of the object at time t = 0.