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Edexcel PHYSICS Doubts

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EVIL DOCTOR:
particle initially located at the origin has an acceleration
of a
= 3.00j^ m/s2 and an initial velocity of v is
 = 5.00i^ m/s.
Find (a) the vector position of the particle at any time t,
(b) the velocity of the particle at any time t, (c) the coordinates
of the particle at t = 2.00 s, and (d) the speed of the
particle at t= 2.00 s.

astarmathsandphysics:
a)s=ut+1/2at^2=5it+1.5jt^2
b)v=u+at=5i+3jt
c)s=5i*2+1.5j*2^2=10i+6j
d)v=5i+3j*2=5i+6j so speed =sqrt(5^2+6^2)=7.81m/s

dk bose:
A bullet of mass 50g is fired horizontally and embeds itself into a stationary
block of wood of mass 1.25 kg. Calculate the speed of the bullet if the
block moves forward with a speed of 3.9m/s after the impact.

plzz solve this question and give the solutions as fast as possible!!!!

astarmathsandphysics:
conservation of momentum.
to start, momentum is due to bullet only:m*v=0.05*v
after, momentum is due to bullet + block together m*v=(1.25+0.05)*3.9=5.07
momentum before=momentum after
0.05*v=5.07 so v=5.07/0.05=101.4 m/s

dk bose:
Two cars collide at an intersection between two roads. One car has a mass of 900kg and is travelling at due North at 25m/s , and the other car has a mass of 750 kg and is travelling due East at 35 m/s ,
The cars remain together after the collision. Calculate the velocity of the cars immediately after the collision, and the fraction of kinetic energy lost. Account for the loss of kinetic energy.

solve this question.its urgent!!!!

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