In a downhill ski race, your final velocity is not affected very much by getting a running start, because the initial kinetic energy is small compared with the gain in gravitational potential energy on even small hills. however, you will finish the race much faster (which is more to demonstrate this, find the final speed and the time taken for a skier who skies 75 m along a slope that is 29°, measured from horizontal, in the following situations (you may neglect friction). 25% part (a) find the final speed (in ms) of the skier starting from rest. grade summa pes 0% 100% potential coso cotan asin acos0 atan0 acotan sinh cosh0nh0cotanh0 submissions attempts remaining: 4 % per attempt) detailed view degrees o radians submit hint i give up! hints: 096 deduction per hint. hints remaining: 3 feedback: 1% deduction per feedback. 25% part (b) how long (in s) does it take for the skier to reach the bottom of this hill starting from rest? là 25% part (c) find the final speed (in ms) ofthe skier starting with a speed of 2.50 m/s. 25% part (d) how long (in s) does it take for the skier to reach the bottom of this hill with a starting speed of 2.50 ms?

(a)

(b) 5.615979

(c)

(d) t=5.114872571 seconds

Explanation:

(a)

Acceleration, a along the slope is given by

where g is acceleration due to gravity and is the angle of inclination

Also, the velocity after moving a distance s is given by

where  and are final and initial velocities, s is distance covered

Substituting into the above we obtain

Making the subject we obtain

and substituting for g, for and 75 m for s while initial velocity is zero

(b)  

Time to reach the bottom is given by

and making t the subject of the formula

but since initial velocity is zero hence

(c)

When the initial velocity is 2.5 m/s then

(d)

Time required to reach the bottom is given by

and substituting the above figures we get

t=5.114872571 seconds

i wanna say it’s between b and d, leaning more towards b.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.