Vertical Motion Applications

A cliff diver jumps from 84ft cliff. How long will it take the diver to hit the water?

(a)  

 $h\left(d\right)=-0.0347d^2\ +\ 0.833d$  

A kangaroo's jump follows the pattern above, where h is the height in feet and d is the horizontal distance in feet.  What is the maximum height that the kangaroo reaches?

(a)  

The initial upward velocity of a golf ball is 60ft/second. How long will it take the ball to return to the ground?

• 0.27 seconds

• 1.875 seconds

• 3.75 seconds

• 16 seconds

An antelope must jump 5.5 feet to clear a fence. It can jump with an initial velocity of 20 ft/second. Can the antelope make the jump?

• Yes he will clear the fence.

• No he will not clear the fence.

 $h\left(t\right)=-6t^2\ +\ s$  
The height h (in feet) of a falling object on Mars after t seconds is given by the equation above, where s is the initial height in feet from which the object was dropped. A rock is dropped from a space probe from a height of 90 ft. About how long would it take to reach Mar's surface?

(a)  

You throw a ball to a friend in a window, 15 feet off of the ground, on the upper floor of your house. You throw the ball with an initial velocity of 35 feet/second from a height of 6 feet. When will the ball reach the window?

(a)  

You throw a ball to a friend in a window, 15 feet off of the ground, on the upper floor of your house. You throw the ball with an initial velocity of 20 feet/second from a height of 6 feet. When will the ball reach the window?

• 0.21 seconds

• 1.03 seconds

• 1.6 seconds

• It will never reach the window

 $y=-0.00993x^2\ +\ 1.1106x\ +\ 4.1$  
A struck baseball follows the path of the equation above, where x is the horizontal distance and y is the height (both in feet).  To the nearest foot, what is the maximum heigh of the baseball AND how far, to the nearest foot, does the ball travel before hitting the ground?  Select your answers from below.

• max of 35 feet

• max of 56 feet

• max of 115 feet

• lands at 56 feet

• lands at 115 feet