Ib word problems quadratic

A ball is thrown into the air from the top of a 30-meter high building. The ball's height above the ground can be modeled by the function h(t) = -5t^2 + 10t + 30, where t is the time in seconds. How long will it take for the ball to hit the ground?

• It will take approximately 2 seconds for the ball to hit the ground.

• It will take approximately 7 seconds for the ball to hit the ground.

• It will take approximately 3.6 seconds for the ball to hit the ground.

• It will take approximately 5 seconds for the ball to hit the ground.

The length of a rectangle is 3 meters more than its width. If the area of the rectangle is 70 square meters, find the dimensions of the rectangle.

• 7 meters by 10 meters

• 5 meters by 12 meters

• 8 meters by 9 meters

• 6 meters by 11 meters

The product of two consecutive integers is 56. Find the integers.

• 7 and 8

• 12 and 13

• 10 and 11

• 5 and 6

A car travels at a constant speed of 60 km/h. If the car travels a total distance of 300 km, how long will it take to reach the destination?

• 5 hours

• 3 hours

• 8 hours

• 10 hours

The height of a triangle is 4 meters more than twice its base. If the area of the triangle is 24 square meters, find the height and base of the triangle.

• Base = 6 meters, Height = 8 meters

• Base = 4 meters, Height = 12 meters

• Base = 5 meters, Height = 6 meters

• Base = 3 meters, Height = 10 meters

A ball is thrown into the air with an initial velocity of 20 m/s. The height of the ball can be modeled by the function h(t) = -5t^2 + 20t, where t is the time in seconds. How long will it take for the ball to reach its maximum height?

• 10 seconds

• 2 seconds

• 15 seconds

• 5 seconds

The sum of two consecutive even integers is 46. Find the integers.

• 22 and 24

• 18 and 28

• 25 and 21

• 20 and 26

The length of a rectangle is 5 meters less than twice its width. If the perimeter of the rectangle is 42 meters, find the dimensions of the rectangle.

• Width: 8 meters, Length: 12 meters

• Width: 10 meters, Length: 15 meters

• Width: 6 meters, Length: 10 meters

• Width: 7 meters, Length: 9 meters

A stone is thrown into the air with an initial velocity of 15 m/s. The height of the stone can be modeled by the function h(t) = -4.9t^2 + 15t, where t is the time in seconds. How long will it take for the stone to hit the ground?

• The stone will hit the ground after approximately 5 seconds.

• The stone will hit the ground after approximately 10 seconds.

• The stone will hit the ground after approximately 3.06 seconds.

• The stone will hit the ground after approximately 1 second.

The area of a square is 64 square centimeters. Find the length of each side of the square.

• 12 centimeters

• 16 centimeters

• 8 centimeters

• 6 centimeters