a rocket propelled car starts from rest at x = 0 and moves in the positive direction of x with - Science - Motion

Question

a rocket propelled car starts from rest at x =
0 and moves in the positive direction of x with constant
acceleration a = 5m/s2 for 8
seconds until the fuel is exhausted it then continues with
constant velocity what distance does the car cover in 12
seconds?

Somnath physics · Accepted Answer

Here,

a = 5 ms-2

t1 = 8 s

t2 = 12 s

u = 0

Distance traversed in 8 s under acceleration

s1 = Â½at12

=> s1 =
Â½Ã—5Ã—(8)2

=> s1 = 160 m

Final velocity at end of 8 s

v = at

=> v = 5Ã—8 = 40 ms-1

Distance travelled with constant velocity of 40 ms-1
will be

s2 = v(t2 â€“
t1)

= 40(12 - 8)

= 160 m

Total distance covered = s1 + s2

= 160 + 160

= 320 m

a rocket propelled car starts from rest at x = 0 and moves in the positive direction of x with constant acceleration a = 5m/s2 for 8 seconds until the fuel is exhausted. it then continues with constant velocity. what distance does the car cover in 12 seconds?

a rocket propelled car starts from rest at x = 0 and moves in the positive direction of x with constant acceleration a = 5m/s² for 8 seconds until the fuel is exhausted. it then continues with constant velocity. what distance does the car cover in 12 seconds?