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A man standing on the roof of a building throws a ball with a velocity 18.0 ms-1 at an angle 50o from the horizontal. The height of the building is 35.0 m. (Given g = -9.81 ms-2) Calculate:
(i) the maximum height of the ball from the ground,
(ii) the magnitude of the velocity of the ball just before it strikes the ground.
Write a programme that takes in a number from a user then prints out all the divisors greater than zero but less than the number itself
A satellite is projected near the surface of Earth so that it has a certain speed that can orbit the Earth. Calculate the speed of the satellite and the time for 1 complete rotation around the Earth. (Given, ME = 6 x 1024 kg, RE = 6.38 x 106 m, G = 6.67 x 10-11 Nm2kg-2)
When his son was three years old, Vuyisanani made a deposit of R16 200,00 in the bank. The investment
grew at a simple interest rate and when Vuyisanani’s son was 22 years old, the value of the investment was
R46 980,00. Had the interest been 1,25% less, how much interest would he have lost?
[1] R3 847,50
[2] R26 932,50
[3] R19 338,68
[4] R4 455,00
Pamela borrows an amount of money for emergency house repairs. The interest on the loan is compounded
quarterly. After four years the debt accumulated by R7 980,00 to the amount of R32 923,00. The yearly
interest rate, expressed as a percentage and rounded to two decimal places, at which the money was borrowed,
is
[1] 1,75%.
[2] 8,00%.
[3] 9,26%.
[4] 7,00%
An amount of money is invested at 8% interest per year, compounded quarterly. After a number of years, the
accumulated amount in the account is R7 365,00. The investment earned R2 000,00 interest in this period.
If the accumulated amount is left in the account (the interest rate remains the same) for another period that
is one year longer than the first period, the accumulated amount in the account will then be
[1] R10 312,78
[2] R29 363,56
[3] R10 944,00
[4] R10 699,8
Write a paragraph on how you intend establishing a positive classroom climate with reference to the application of the 20 step discipline model
discuss how teacher can enhance the physical classroom environment to enhance learning and motivate learner's better
Solve the given difference equation using z transform. yk+2 − 4yk+1 + 4yk = k 2 · 2 kwith y0 = 2, y1 = 3.
A fisherman on a stationary boat jumps off onto a jetty with a velocity of 1.5 ms-1, causing the boat to move backwards.
(i) If the mass of the fisherman and the boat are 65 kg and 450 kg respectively, determine the velocity of the boat. (ii) If the fisherman’s feet are in contact with the jetty for 10 ms, determine the magnitude of the average force exerted on his feet.
