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 important!). To demonstrate this, find the final speed and the time taken for a skier who skies 62.5 m along a slope that is 22°, measured from horizontal, in the following situations (you may neglect friction). A.)How long in (s) does it take for the skier to reach the bottom of this hill starting from rest?

In archer fires in hero straight up into the air with a speed va= 25 m/s. Neglect air resistance. Find the maximum height h reached by the arrow in meters. Write an expression for the time the arrow is in the air until it returns to launch height in terms of known quantities.

Based on a grade 11 physics student, answer the following question: A poké-ball rolls off Ash’s table with a velocity of 1.93 m/s [horizontally].  The tabletop is 76.5 cm above the floor.  If air resistance is negligible, determine  how long the poké-ball is airborne the horizontal range (distance) the velocity at impact

It's been a great day of new, frictionless snow. Julie starts at the top of the 60° slope with a push-off velocity of 1.7 m/s as shown in the diagram. At the bottom a circular arc carries her through a 90° turn, and then she launches off a 3.0-m-high ramp. How far horizontally is her touchdown point (in m) from the end of the ramp assuming that air resistance is negligible and that the local acceleration due to gravity is 9.80 m/s2?

Tarzan grabs a vine hanging vertically from a tall tree when he is running at 9.3 m/s. a. How high (in m) can he swing upward? (Enter your answer with respect to the ground.) (Answer in m) b. Does the length of the vine affect this height? (Yes or No)

A projectile is fired from a point 50 meter from a tall cliff at 75 m/sec and at angle of 50 degrees above the horizontal. It will strike the cliff at a point h above the cliff base. What is h? What is the final speed of the projectile when it hits the cliff in the problem above?

Two snowy peaks are at heights H = 800 m and h = 740 m above the valley between them. A ski run extends between the peaks, with a total length of 2.91 km and an average slope of 0 = 32° (see the figure). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak if he coasts without using ski poles? Ignore friction. (b) Approximately what coefficient of kinetic friction between snow and skis would make him stop just at the top of the lower peak? (a) Number i (b) Number i h 0 Units Units 0 H ←

A) A student throws a dart horizontally toward the center of a target, X, at a speed of 20 m/s as shown. The dart flies for 0.1 s and then hits below the center, at Y. How much lower, in m, does it hit? B) A drone at too great a height drops a box. The box drops straight down the ground and hits at 100 m/s smashing the contents. Neglecting air friction, approximately, how high, in m was the drone? C) is in the picture

The known elevations of the ski jumping hill shown below are as follows: hB = 1.2 mhC = 6.4 m If a ski jumper starts from rest at position A, what elevation (in m) is required at position A to ensure that she reaches a minimum launch velocity of 27.1 m/s at position C ?

Hi, I have one more follow-up question regarding a similar problem where I need to find the height: In a rollercoaster ride a passenger car at the top of the first hill is travelling at 3.5 m/s. The carthen descends on rails to the bottom of the slope and then goes up the second hill where the speed is 10 m/s. Find the difference in height between the first and second hill. (Result 4.47m)   Attached is the formula I tried to use, however, I get a different result so I am definitely doing something wrong. Online I didn't find a similar problem so I am asking here as a last chance. Can you help?