Answer
given,
vertical speed of stone,v = 12 m/s
height of the cliff = 70 m
a) time taken by the stone to reach at the bottom of the cliff
We know that,
S = u t + 1/2 a t²
- 70 = 12 t - 0.5 x 9.8 t²
4.9 t² - 12 t - 70 = 0
solving the equation
t = 5.2 s (neglecting the negative value)
b) again using equation of motion
v = u + a t
v = 12 - 9.8 x 5.2
v = -38.96 m/s
ignoring the negative sign
magnitude of velocity is equal to 38.96 m/s
c) total distance travel by the stone
vertical distance covered by the stone
v² = u² + 2 g h
0 = 12² - 2 x 9.8 x h
h = 7.34 m
to reach the stone to the same level distance travel be doubled.
Total distance travel by the stone
H = h + h + 70
H = 7.34 x 2 + 70
H = 84.7 m.
Answer:
6.1 m
Explanation:
m = Mass of person = 52 kg
h = Altitude
v = Velocity
Kinetic energy of the person on the ground
Kinetic energy of the person at the top
At the top the potential energy is given by
Balancing the energy of the system
Her altitude is 6.1 m
The condition that must exist if a bond’s coupon rate is to equal both the bond’s current yield and its yield to maturity is that THE BOND MUST BE PRICED AT PAR.
Explanation:
- The par value is also the amount upon which the entity calculates the interest that it owes to investors. Thus, if the stated interest rate on a bond is 10% and the bond par value is $1,000, then the issuing entity must pay $100 every year until it redeems the bond.
- Par value is the face value of a bond. Par value is important for a bond or fixed-income instrument because it determines its maturity value as well as the dollar value of coupon payments.
- When a bond is issued at par value it is sold for the face value amount. This generally means that the bond's market and contract rates are equal to each other, meaning that there is no bond premium or discount.