A transformer has a voltage of 80V across the primary coil of 500 turns. The secondary coil has a voltage of 320V across it and a current of 15A. 

A sound wave is travelling in air from it's source 3m from a sheet of glass which has a thickness of 50mm.

The speed of sound in air is 330 m/s

The speed of sound in glass is roughly 5000 m/s

Part of a radioactive decay series is shown below:

A mixture is made up of different liquids in a ratio of 1:2:2, of oil:golden syrup:water.

Density of golden syrup = 1400 kg/m³

Density of oil = 900 kg/m³

Density of water = 1000 kg/m³

Take g to be 10N/kg in this question

Contamination

A cyclist, Andy, is training for the Tour de Birmingham. He is cycling along a flat road at 80km per hour. Andy has to swerve around a rock which reduces his speed to 60km per hour. He feels a little shaken so continues at this speed to get his focus back. The road takes him out of the national park and into a quiet nearby village. Andy sees a football bounce out into the middle of the road so begins to slow down at a constant rate to 24km per hour. His reaction time is usually 0.9 seconds however, before he left he drank a cup of coffee. This speeds his reaction time up by 1.5 times. He reaches a comfortable 24km per hour after 12 seconds and continues at this speed for 100m when he sees 2 children run out into the road, presumably to get the football. He hard brakes and decelerates linealy to come to a stop in 6 seconds.

Ronald enjoys physics and was learning about reaction times in his physics class last week. He wants to know more about his reaction time. Using an online application, he assessed his reaction time to be 0.9s when he is feeling healthy and well. The following day he is tired, having been kept up all night by a thunderstorm. His reaction time is now double what it was the previous day. Ronald wants to know what other factors might affect his reaction time. He read that caffeine can speed up reaction time by 1.5 times. After drinking a cup of coffee and waiting an hour before measuring his reaction time, he found this to be true for himself.

Ronald often cycles to school as it keeps him healthy as well as saving him money on the bus. One day he is cycling to school and sees a child run out into the road. He had a cup of coffee with his breakfast one hour ago but is also very tired having stayed up late to watch a movie last night. He is currently travelling at 100 m/s and comes uniformly to a stop in 7 seconds.

The graph of Y = sin(X) is translated by π/2 towards the negative x-axis, rotated about the origin by 180° and reflected in the line X= π/2. What operation will return the function to Y = sin(X)?

For how many minutes of a day is the number 1 displayed on a digital 24 hour clock with a precision of one minute?

In the expansion of (1 + px)^q, where p and q are integers, the coefficient of x² is 6 times the coefficient of x. How many possible combinations of values for p and q exist?