Question

Alice and Tom dive from an overhang into the lake below. Tom simply drops straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Just as they reach the lake below

A) the speed of Alice is larger than that of Tom.
B) the splashdown speed of Alice is larger than that of Tom.
C) they will both have the same speed.
D) the speed of Tom will always be 9.8 m/s larger than that of Alice.
E) the speed of Alice will always be 25 m/s larger than that of Tom.

Answer 1

C : Both will have same speed

Step-by-step explanation:

Both the Alice and Tom jumps from the same height . In case of Alice , a horizontal component of velocity is added , which has no effect in the downward motion .

The velocity on the surface of lake van be found by the relation

v² - u² = 2 g h .

here v is the velocity on the surface of lake , u is the initial downward velocity .

The initial downwards velocity is 0 in both the cases . If Alice has some horizontal velocity , it will not effect the downward motion .

Thus v =
`√(2gh)` for both .

Thus velocity on the surface of lake will be same for both .