Having trouble with this question:
An ‘extreme’ cyclist wants to perform a stunt in which he rides up a ramp, launching himself into the air, then flies through a hoop and lands on another ramp. The angle of each ramp is 30.0° and the cyclist is able to reach the launch height of 1.50 m with a launching speed of 30.0 km/h. Calculate:
(a) the maximum height above the ground that the lower edge of the hoop could be placed
(b) how far away the landing ramp should be placed.
I think I can work out the distance okay, but the finding of the max. height concerning the lowest edge of the hoop throws me off a bit. I might be overthinking this though. Does the question just require the usual equations or is there more math to it? If anyone can help me out, thank you so much!
Hey there! I'm having a bit of trouble picturing this; do you interpret this as the ramp being 1.5 metres high at the point where the cyclist leaves the ramp? That's how I interpret it, let me know if you think the same.
In that case, just the normal math!!
I'm super happy to show you the steps, but just in case you wanted to have a go yourself first, it would just be:
1- Resolve the velocity into horizontal and vertical components
2- Use \(v=u+at\) to find
when it reaches the maximum height
3- Use \(\Delta y=ut-\frac{1}{2}at^2\) to find the maximum height itself
Then
remember to add 1.5 metres to that number, because we started that high off the ground to begin with
If you are having trouble let me know and I'll show you the steps!