Displacement is the area under the velocity/time graph. So for example this object's displacement in the first 3 seconds is (1/2)(3sec)(12.5 m/s)= 18.75m. (and then it starts backing up, displacement decreasing, after 3sec when velocity is negative).
But This object is never speeding up. Its velocity is smoothly decreasing at (25/6) m/s^2 (the slope of the graph). So the answer to the question is actually zero.
An increase in average speed of 1 km/h typi- cally results in a 3% higher risk of a crash involving injury, with a 4–5% increase for crashes that result in fatalities. — Speed also contributes to the severity of the impact when a collision does occur. Hope this helps!
The number of protons tells you what element an atom is. Just knowing the number of neutrons/mass number does not tell you what element an atom is, since atoms of the same element can have different mass numbers. But all atoms with the same number of protons, are also always of the same element.
Hence, we can identify an atom by the number of protons it has
Answer:
The value is
Explanation:
Generally from the calorimetry principle we have that

So here heat gained water is mathematically represented as i.e

substituting 0.150 kg for
, 4200 J/kg.°C for
, 100°C for
and 75°C for T
We have


The Heat loss by the ice is mathematically represented as

Here
is the energy to move the ice to its melting point which is evaluated as

Here
is the mass of ice
is the specific heat of ice with value 
temperature of ice at melting point with value 0°C
is the temperature of ice with value -12°C
is the energy to move the ice from its its melting point to liquid which is evaluated as

Here L is the Latent heat of melting of ice with value 
is the energy to move the ice from liquid to the equilibrium temperature which is evaluated as

So
![Q_i = m_i [ c_i * ( T_o -T_i) + L + c_w * ( T -T_o) ]](https://tex.z-dn.net/?f=Q_i%20%20%3D%20m_i%20%5B%20c_i%20%2A%20%28%20T_o%20-T_i%29%20%2B%20L%20%20%2B%20c_w%20%2A%20%28%20T%20-T_o%29%20%5D%20)
=> ![Q_i = m_i [ 2.05 * 10^3 * ( 0 -(-12)) + 334 * 10^3 + 4200 * ( 75 - 0) ]](https://tex.z-dn.net/?f=Q_i%20%20%3D%20m_i%20%5B%202.05%20%2A%2010%5E3%20%2A%20%28%200%20-%28-12%29%29%20%2B%20334%20%2A%2010%5E3%20%20%2B%20%204200%20%2A%20%28%2075%20-%200%29%20%5D%20)
From

We have that
=>
=>
Answer:
a)
, b) 
Explanation:
a) The final velocity of the 13.5 g coin is found by the Principle of Momentum Conservation:

The final velocity is:

b) The change in the kinetic energy of the 13.5 g coin is:
![\Delta K = \frac{1}{2}\cdot (13.5\times 10^{-3}\,kg)\cdot \left[(11.9\times 10^{-2}\,\frac{m}{s} )^{2}-(0\,\frac{m}{s} )^{2}\right]](https://tex.z-dn.net/?f=%5CDelta%20K%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20%2813.5%5Ctimes%2010%5E%7B-3%7D%5C%2Ckg%29%5Ccdot%20%5Cleft%5B%2811.9%5Ctimes%2010%5E%7B-2%7D%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D-%280%5C%2C%5Cfrac%7Bm%7D%7Bs%7D%20%29%5E%7B2%7D%5Cright%5D)
