Zaluckyj– AAT(H)
Name: _________________________________
3.1 Day 4 Projectile Motion Problems
Date: ____________________ Period: _______
Essential Question: How would a calculator make this problem easier to do?
Learning Targets: Students will be able to…
 2.A.10: use quadratic equations to model real life problems.
 2.A.6: identify the y-intercept, vertex, and axis of symmetry of a quadratic equation in standard form.
Use the equation h t   16t 2  V0t  H0 for all of these problems.
Ex 1) An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What
will be the object's maximum height? When will it attain this height?
Ex 2) Some fireworks are fired vertically into the air from the ground at an initial velocity of 80 feet per
second. Find the highest point reached by the projectile just as it explodes.
Ex 3) A ball is kicked vertically upward with an initial velocity of 48 feet per second. If the ball started from
the ground, estimate the time it will take for the ball to hit the ground again.
Ex 4) An overzealous golfer hits a flop shot with a sand wedge to get out of the corner of a sand trip with
an initial velocity of 45 feet per second. What is the maximum height that the golf ball will reach?
Practice: Worksheet, pg. 131 #19, 35, 49, 51, 81 and pg. 272 #77, 79, 83
Zaluckyj – AAT (H)
Name: _________________________________
3.1 Mixed Review Problems
Date: _______________________ Period: _____
#1 – 3: Write each function in vertex form. Then graph and identify the listed components for each
function.
1. y  3x 2  18 x  21
10
8
6
4
2
-10
-8
-6
-4
-2
2
4
6
8
10
8
10
-2
-4
-6
-8
-10
vertex form: ___________________________
y-intercept: ________________
axis of symmetry: ___________
vertex: ___________________
2. y  4 x 2  8 x
10
8
6
4
2
-10
-8
-6
-4
-2
2
4
6
-2
-4
-6
-8
-10
vertex form: ___________________________
y-intercept: ________________
axis of symmetry: ___________
vertex: ___________________
3. y 
10 10
1 2
x  2x  2
4
8 8
6 6
4 4
2 2
-10-10-8 -8-6 -6-4 -4-2 -2
2 2 4 4 6 6 8 810 10
-2 -2
-4 -4
-6 -6
-8 -8
-10-10
vertex form: ___________________________
y-intercept: ________________
axis of symmetry: ___________
vertex: ___________________
#4 – 5: Identify the listed components of the quadratic functions. HINT: you do NOT need vertex form.
4. f ( x)  4 x 2  4 x  5
AOS: _________________
1
5. g ( x)  8  x 2
4
AOS: _________________
vertex: ____________________
vertex: ____________________
direction of opening: _________
direction of opening: _________
#6 – 7: Write an equation for each quadratic function.
6. Vertex: (1, 3)
through the point (-2, -15).
7. Vertex: (-3, 0)
through the point (3, 18)
Practice: Worksheet, pg. 131 #19, 35, 49, 51, 81 and pg. 272 #77, 79, 83