***I need help with #5 d, e, f, g, i Please show all work. Thank you! b) What is

Question

***I need help with #5 d, e, f, g, i

Please show all work. Thank you!

b) What is its average velocity? e) What is the cas displacemen 6 d) whe" (at what time) don dr ear·witch directem? ar never, "how why?) e) What is the distance traveled by the car? v. D What is the average speed of the car? g) If the problem extended past the 8 seconds, at what time would the car be back at its starting point? h) At what times dees the car have a displacement of 20 m? (If never, show why.) i) At what times does the car have a displacement of 100 m? (If never, show why.)

Explanation / Answer

here ,

initial velocity , u = 30 m/s

final velocity , v = - 10 m/s

t = 8 s

d) acceleration , a = (v - u)/t

a = (-10 - 30)/8

a = - 5 m/s^2

let the time is t

0 = 30 - 5 * t

t = 6 s

at 6 s , car will switch direction

e)

for the distance

distance travelled = 0.50 * 5 * 2^2 + 30 * 6 - 0.50 * 5 * 6^2

distance travelled = 100 m

f)

average speed = distance/time
average speed = 100/8

average speed = 12.5 m/s

g)

for d = 0

= = 30 * t - 0.50 * 5 * t^2

t = 12 s

the time taken is 12 s
h)

20 = 30 * t - 0.50 * 5 * t^2

solving for t

t = 0.71 s , 11.3 s
the time taken is 0.71 s and 11.3 s

i) for d = 100

100 = 30 * t - 0.50 * 5 * t^2

time is imaginary value , hence , this is not possible

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