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 3.4 m/s2 while kathy maintains an acceleration of 4.49 m/s2. (a) find the time at which kathy overtakes stan. 6.7 correct: your answer is correct. seenkey 6.7 s from the time kathy started driving

time at which Kathy overtakes Stan is 6.70 sec

Explanation:

given data

time = 1 sec

acceleration= 3.4 m/s²

acceleration = 4.49  m/s²

to find out

the time at which Kathy overtakes Stan

solution

we consider here travel time for kathy = t1

and travel time for stan is = t2

and we know initial velocity = 0

so

t1 = 1 + t2

and distance travel equation by kinematic is

d1 = ut + at²

d1 = 0+   4.49 (t2)²   ................1

and

d2 = 0 + 3.4 (1+t2)²   ..................2

and when overtake distance same so  from equation 1 and 2

4.49 (t2)²  = 3.4 (1+t2)²

t2 = 6.703828 sec

so time at which Kathy overtakes Stan is 6.70 sec

answer: a) y=-8x+5

a) m= -8

b) m= -2

c) m= 7

d) m= 6