Solving Problems of Time

If you jump off a cliff and your path is modeled by the function, h(t) = -16t² + 8t + 24, where t is time in seconds, how long would it take you to reach the water?

• .25 sec

• 1 sec

• 1.5 sec

• 2 sec

If a toy rocket is launched from the ground and its height h after t seconds is given by the function h(t) = -8t² +64t.

When will the object reach its maximum height?

• 128 ft

• 0 seconds

• 0 ft

• 4 seconds

Mary earns $14 per hour. Which equation represents how many hours she worked to earn $112?

• 14h = 112

• 14 / h = 112

• h + 14 = 112

• h - 14 = 112

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

Jesa can type a story in one hour less than Annie. If They work together they can type the same story in 2 hours. Represent Jesa's time using a variable.

• x - 1

• 1 - x

• x - 2

• 2 - x

If Tommy drove 300 miles in 5 hours what is his speed?

• 1,500 miles

• 60 miles per hour

• 1,500

• 60 miles

A jet is flying at a constant speed of 550 miles per hour for 2 hours and then makes a stop. It then continues at a speed of 350 miles per hour for another 3 hours. What is the total distance the plane flew?

• 900 miles

• 225 miles per hour

• 2,150 miles

• 1,000 miles per hour

• 17, 3.5

• 18, 4.25

• 5, 3

• 18, 4.25

What is the meaning of rate of change in the context of the problem?

• The distance to New York City  increases by 55 miles per hour.

• New York City is 55 miles away at the start of the trip.

• The distance to New York City decreases by 55 miles per hour.

• It takes 55 minutes to get to New York City.