Answer :
Final answer:
We use the conservation of energy concept to equate Toby's initial potential energy at the top of the half-pipe and his total energy (kinetic plus potential energy) at 3.5 m. The resulting equation is used to solve for his velocity at 3.5 m.
Explanation:
The question asks for Toby's speed when he reaches a height of 3.5m in a half-pipe. This involves the concept of conservation of energy where the total energy remains constant in a system. Initially, Toby has potential energy but zero kinetic energy (velocity = 0). As he descends, this potential energy gets converted to kinetic energy. Equating the initial potential energy and the energy when Toby is at a height of 3.5 m:
Potential Energy at top = Kinetic Energy + Potential Energy at 3.5m
Using the formula of potential energy (m*g*h) and kinetic energy (1/2*m*v^2), where m = mass, g = acceleration due to gravity, h = height, v = velocity, we can solve for v.
After the calculation, you will get the result for v (velocity), which is Toby's speed at a height of 3.5m on his descent.
Learn more about Conservation of Energy here:
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