Question

the velocity v of an object depends on time t as v = 3t + 2. From the start, the velocity of the particle is. a) first increasing and then decreasing. b) first decreasing and then increasing. c) continuously increasing. d) continuously decreasing​

Answer 1

Answer:

6.5m

Explanation:

The relation is

dt

dx

=v where x is displacement and v is velocity which is given as v=3−t

so we have dx=vdt

after 3sec the direction of motion will get reversed.

so

on integrating both sides we get ∫

X=0

X

dx=∫

t=0

t=3

(3−t)dt=9−

2

9

=4.5meter

now integrating both sides for t=3 to t=5

we have the displacement as

∫

X=4.5

X

dx=∫

t=3

t=5

(3−t)dt=−2meter

so the net distance will be X=(2)+4.5=6.5meter

Answer 2

Answer:

velocity v of an object depends on time t as v = 3t + 2. From the start, the velocity of the particle is. a) first increasing and then decreasing. b) first decreasing and then increasing. c) continuously increasing. d) continuously decreasing

Explanation:

first increasing and then decreasing