Kathy tests her new sports car by racing with stan, an experienced racer. both start from rest, but kathy leaves the starting line 1.00 s after stan does. stan moves with a constant acceleration of 3.9 m/s^2 while kathy maintains an acceleration of 4.73 m/s^2. (a) find the time at which kathy overtakes (b) find the distance she travels before she catches him (c) find the speeds of both cars at the instant she overtakes him.

(a) 10 s

(b) 236.5 m

(c) Kathy's speed = 47.3 m/s

    Stan's speed = 42.9 m/s

Explanation:

Given:

Assumptions:

Part (a):

 Kathy will catch Stan only if the distances traveled by each of them are equal at the same instant.

Hence, Kathy catches Stan after 11 s from the Stan's starting times.

Part (b):

Distance traveled by Kathy to catch Stan will be distance the distance traveled by her in 10 s.

Hence, Kathy traveled a distance of 236.5 m to overtake Stan.

Part (c):

The speed of Kathy at the instant she catches Stan is 47.3 m/s.

The speed of Stan at the instant Kathy catches him is 42.9 m/s.

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