Answer:
t = 8.45 sec
car distance d = 132.09 m
bike distance d = 157.08 m
Explanation:
GIVEN :
motorcycle is 25 m behind the car , therefore distance need to covered by bike to overtake car is 25+ d, when car reache distance d at time t
for car
by equation of motion

u = 0 starting from rest


for bike


equating time of both

solving for d we get
d = 132 m
therefore t is

t = 8.45 sec
each travelled in time 8.45 sec as
for car

d = 132.09 m
fro bike

d = 157.08 m
Answer:
Explanation:
The equation for momentum is p = mv; therefore,
p1 = 50(4) so
p1 = 200
p2 = 50(5) so
p2 = 250
The impulse, the change in the momentum, is 50, going in the same direction.
To solve this problem we will apply the concepts related to gravitational potential energy.
This can be defined as the product between mass, gravity and body height.
Mathematically it can be expressed as


Therefore the change in the internal energy of the system is 255.78
The book's vertical position in the air is

where
. It reaches the ground when
, at a time
such that

So it takes the book 4 seconds to reach the bottom. The given initial velocity is irrelevant since it only has a horizontal component; vertically, the book is starting from rest.
Answer:
Final temperature of the copper is 59 degrees Celsius
Explanation:
It is given that,
Mass of the sample of copper metal, m = 6.5 g
Initial temperature of the metal, 
Heat generated, Q = 84 J
The specific heat capacity of liquid water is 0.38 J/g-K
Let
is the final temperature of the copper. It can be calculated using the definition of specific heat of any substance. It is given by :





or

So, the final temperature of the copper is 59 degrees Celsius. Hence, this is the required solution.