A skier, with initial speed of 2.0 m/s slides down a smooth inclined plane of length 20.0 m in 2.5 s. At what angle is the plane inclined with respect to the horizontal?
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- A frog sat on a lily pad on the surface of a lake. The frog jumped from the lily pad onto a flat grassy lawn. The nearest edge of the lawn was a horizontal distance 2.41 meters from the lily pad and a vertical distance 0.34 meters above the lily pad. The frog left the lily pad with a speed of 10.4 meters per second and a velocity inclined at an angle of 61 degrees above horizontal. Once the frog was in the air, the only significant force on the frog was gravity with g = 10 meters per second squared. Calculate the distance a, in units of meters, from the edge of the grassy lawn to the place where the frog landed.In the winter sport of bobsledding, athletes push their sled along a horizontal ice surface and then hop on the sled as it starts to careen down the steeply sloped track. In one event, the sled reaches a top speed of 9.2 m/s before starting down the initial part of the track, which is sloped downward at an angle of 6.0°. What is the sled’s speed after it has traveled the first 100 m?A punter kicks a football at an angle 33.9 degrees above the horizontal. The football leaves the punter's foot at a height of 1.10 m above the ground and with a speed of 29.6 m/s. Calculate the maximum height reached by the football above the ground. Ignore air resistance.
- A daredevil decides to jump a canyon of width 10 m. To do so, he drives a motorcycle up an incline sloped at an angle of 15°. What minimum speed must he have in order to clear the canyon?A catapult on a cliff launches a large round rock towards a ship on the ocean below. The rock leaves the catapult from a height H of 31.0 m above sea level, directed at an angle θ above the horizontal with an unknown speed v0. What is the vertical component of the rock's velocity at its maximum height?A rock is thrown with an initial speed of 15 m/s at an angle of 35.0 degrees above the horizontal from the top of a 30.0-m-tall tower. Assume air resistance is negligible, and g = 9.8 m/s2. What is the direction of the rock as it hits the ground?
- A long jumper leaves the ground at an angle of 60.0° above the horizontal and at a speed of 8.0 m/s. What is the maximum height reached?a skateboarder moving at 5.90 m/s along a horizontal section of a track that is slanted upward by θ = 46.0° above the horizontal at its end, which is 0.790 m above the ground. When she leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air resistance, find the maximum height H to which she rises above the end of the track.A physics book slides off a horizontal table top with a speed of 1.10 m/s. It strikes the floor after a time of 0.480 s. Ignore air resistance. Find the horizontal distance from the edge of the table to the point where the book strikes the floor.
- A stunt driver wants to make his car jump over cars parked side by side below a ledge. With what minimum speed must he drive off the ledge to clear the cars? The vertical height of the ramp is 1.50 m above the cars and the horizontal distance he must clear is 22.0 m.An object is thrown off of a cliff 320 m above level ground with an initial horizontal velocity of 20 m/s. What is the object’s final vertical velocity and final horizontal velocity?A rock is thrown with an initial speed of 15 m/s at an angle of 35.0 degrees above the horizontal from the top of a 30.0-m-tall tower. Assume air resistance is negligible, and g = 9.8 m/s2. What is the direction of the rock as it hits the ground? A rock is thrown with an initial speed of 15 m/s at an angle of 35.0 degrees above the horizontal from the top of a 30.0-m-tall tower. Assume air resistance is negligible, and g = 9.8 m/s2. What is the direction of the rock as it hits the ground? 25.50 64.40 53.50 45.00