A small block travels up a frictionless incline that is at an angle of 30.0° above the horizontal. The block has speed 5.10 m/s at the bottom of the incline. Assume g = 9.80 m/s2. How far up the incline (measured parallel to the surface of the incline) does the block travel before it starts to slide back down?

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 space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y  components.

At t = 0.00 s a ball is started rolling up an inclined plane with an initial velocity of 6.00 m/s, 15.0°. At t = 2.00 s the ball reverses its direction and begins to roll back down. (a) How far up the slope does the ball travel? (b) Find the ball's acceleration. (c) Find the speed of the ball at t = 3.00 s. (d) Find the distance traveled by the ball during these 3.00 seconds. (e) Find the ball's position at t = 3.00 s.

A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 17.3 m/s at an angle of 52.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

A golfer hits a shot to a green that is elevated 2.60 m above the point where the ball is struck. The ball leaves the club at a speed of 19.9 m/s at an angle of 34.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

A 3.00 kg box slides UP a smooth (frictionless) 39-degree hill with an initial speed of 16.0 m/s. To what maximum height above the bottom of the hill does the box reach before stopping?

A golfer hits a shot to a green that is elevated 3.00 m above the point where the ball is struck. The ball leaves the club at a speed of 18.9 m/s at an angle of 46.0° above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

OK, same sort of track, but now with d = 2.80 m. Now suppose the blocks starts on the track at x = 3.20 m. The block is given a push to the left and begins to slide up the track, eventually reaching its maximum height at x = 0, at which point it turns around and begins sliding down. What was its initial speed in this case?     8.47 m/s     5.99 m/s     10.12 m/s     4.83 m/s

A girl throws a stone with an initial velocity of 4.44 m/s at 60.7° above the horizontal. If air resistance is negligible, after how much time tmax does the stone reach its maximum height? tmax S