Trouble with mechanical physics

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The discussion focuses on solving mechanical physics problems involving a trampoline artist and a sports car. For the trampoline artist, the key to determining his landing speed is the conservation of mechanical energy, specifically using the formula E = (mv²)/2 + mgh. For the sports car, the average power delivered by the engine can be calculated by considering the work done over time, correcting the initial power calculation of 112,000 W. The spring constant of the trampoline is given as 5.2 x 10^4 N/m, which is essential for calculating the depression of the trampoline.

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  • Familiarity with Hook's law and spring constants
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A 70 kg trampoline artist jumps vertically upward from the top of a platform with a speed of 4.5 m/s. (Ignore small changes in gravitational potential energy.

(a) How fast is he going as he lands on the trampoline, 3.0 m below?
m/s
(b) If the trampoline behaves like a spring with spring stiffness constant 5.2 multiplied by 104 N/m, how far does he depress it?
m

I think i have to use kinematics but I don't really know how to execute it

A 1400 kg sports car accelerates from rest to 80 km/h in 7.4 s. What is the average power delivered by the engine?
I put 112000 W but it is wrong and I don't know what to do to get it write

please help me with one or both of these that would be great
 
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For part (a), think about the conservation of mechanical energy. (E=\frac{mv^2}{2}+mgh).

For part (b), use Hook's law. (Check out wikipedia or google it).
 

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