Trinity and a penguin get into an argument. The penguin gets angry and attacks her. Its mass is 5 kg and slides at 8 m/s, and Trinity is 40 kg and at rest. They collide and bounce apart. After the collision, the penguin is moving at 0 m/s. How fast is Trinity moving after the collision?

velocity of Trinity = 1m/s

Explanation:

Conservation of Momentum equation

m1u1+m2u2=m1v1+m2v2.

m1 = mass of penguin

u1 = initial velocity of penguin

v1 = final velocity of the penguin

m2 = mass of Trinity

u2 = initial velocity of Trinity

v2 = final velocity of trinity

5kg • 8m/s + 40kg • 0m/s = 5kg • 0m/s + 40kg • v2

40kg•m/s = 40kg • v2

divide each side by 40kg

1m/s = v2

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s