# #273

You go for a romantic meal with your beau/belle and get given a 500ml glass of water.  You whip out your infra-red thermometer and measure it to be at 20⁰C.  You would prefer it to be at 5⁰C as it is a very, very, very hot day, so want to ask the waiter for some ice.

You’re not known as one to make a fuss so you don’t want to waste the waiter’s time getting extra ice.  Calculate the exact mass of ice required to cool your water to 5⁰C

# #88

I accidentally set my time machine car for prehistoric times and my ‘Mr Fusion Home Energy Reactor’ has been eaten by a velociraptor.  I’ve worked out that if I hit my car with a 1 tonne boulder moving at the correct velocity, the elastic collision will propel my 850kg car at the 88 miles per hour required to start the flux capacitor.  I plan on accelerating the boulder to the correct velocity by rolling it down an appropriately sized hill.

How high should the hill be?

# #28960000

My Year 10’s test results were so bad that I intend to kill myself and plan on doing so by jumping off a tall building.

I have worked out that the only way to guarantee a quick death is by hitting the ground at over 16 m/s.

If each level of the new Science block is 4m high, which floor do I need to jump from?

# #28960000 (Part Deux)

After my Year 10’s embarrassing test results I jump to my certain death off the 4th floor of the science block. Unfortunately someone has left their bouncy castle directly under my fall and I rebound back up, twice, before finally coming to a rest on the, now deflated, bouncy castle.

Sketch a distance-time graph for this.

Now sketch a velocity-time graph.