Question

This question is a little involved, and I am struggling with it. If anyone could assist me with it I would be very much appreciative​.

A cyclist, riding at a constant speed of 5.0 m/s, sees a flash of lightning. Wanting to get home quickly, she accelerates at 1.0 m/s2 for 4.0 s and then rides at a constant speed for 30.0 s. If she then takes a further 12.0 to slow down uniformly to rest, the total distance traveled after seeing the lightning flash is…?

Answer 1

Answer:

The answer to your question is: d = 352 m

Explanation:

I hope it helps you

a)

vo = 5 m/s

a = 1 m/s2

t = 4s

               d = vot + at²/2

               d = (5)(4) + (1)(4)²/2

               d = 20 + 8

               d = 28 m

b)

speed is constant = v

                                 vf² = vo² + 2ad

                                 vf² = 5² + 2(1)(28)

                                 vf² = 25 + 56

                                 vf² = 81

                                 vf = 9 m/s

                                 d = vt

                                 d = 9 x 30

                                 d = 270 m

c)

t = 12 s

vo = 9 m/s

vf = 0 m/s

                          d = (vf + vo)/2 x t

                          d = (9/2)12

                          d = 54 m

total distance = 28 + 270 + 54

                       = 352 m