Two youngsters dive off an overhang into a lake. Diver 1 drops straight down, diver 2 runs off the cliff with an initial horizontal speed v(0). Is the splashdown speed of diver 2 (a) greater than, (b) less than, or (c) equal to the splashdown speed of diver 1 ?

 

C O N C E P T U A L  C H E C K  P O I N T 

C O M P A R E    S P L A S H D O W N        S P E E D S

Two youngsters dive off an overhang into a lake. Diver 1 drops straight down, diver 2 runs off the cliff with an initial horizontal speed v(0). Is the splashdown speed of diver 2 (a) greater than, (b) less than, or (c) equal to the splashdown speed of diver 1 ?

                             

R E A S O N I N G  A N D   D I S C U S S I O N

Note that neither diver has an initial y component of velocity, and that they both fall with the same vertical acceleration—the acceleration due to gravity. 

 Therefore, the two divers fall for the same amount of time, and their y components of velocity are the same at splashdown. Since diver 2 also has a nonzero are the same at splashdown. 

Since diver 2 also has a nonzero x component of velocity, unlike diver 1, the speed of diver 2 is greater.

A N S W E R

(a) The speed of diver 2 is greater than that of diver 1.

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