A BMX bicycle rider takes off from a ramp at a point 2.4 m above the ground. The ramp is angled at 40∘ from the horizontal, and the rider's speed is 5.9 m/s when he leaves the ramp.
At what horizontal distance from the end of the ramp does he land?
Initial height of bicycle
Angle of projection
Initial speed of projection
Horizontal component of initial velocity
Vertical component of initial velocity
Using
In the vertical direction, ( negative sign indicates the direction of displacement and acceleration is downward )
Solving above quadratic equation,
Time taken by rider to reach ground is
Horizontal distance from the end of the ramp is
A BMX bicycle rider takes off from a ramp at a point 2.4 m above the...
A BMX bicycle rider takes off from a ramp at a point 1.8 m above the ground. The ramp is angled at 40∘ from the horizontal, and the rider's speed is 7.1 m/s when he leaves the ramp. At what horizontal distance from the end of the ramp does he land?
A BMX cyclist rides off a 2.50m high ramp with an initial velocity of 18.0 m/s at an angle of 40.0 degrees above horizontal. Find the time it takes for the cyclist to land on the gound and the distance from the base of the ramp to the landing point.
A BMX cyclist rides off a 2.00 m high ramp with an initial velocity of 15.0 m/s at an angle of 35.0 degree above horizontal. (a) What are the horizontal and vertical components of the initial velocity? (b) What is the maximum height above the ground that the cyclist reaches? (c) How much time does it take for the cyclist to reach the level ground? (d) How far from the base of the ramp does the cyclist land? (e) What...
A skateboarder shoots off a ramp with a velocity of 6.8 m/s, directed at an angle of 63° above the horizontal. The end of the ramp is 1.1 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When...
A block is placed on a frictionless ramp at a height hof 14.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down. At the end of the horizontal track, the block slides smoothly onto a second frictionless ramp. 0 = 48.3° By = 25.5 How far along the second ramp does the block travel before coming to a momentary...
As depicted in the figure, a barrel rolls down a ramp and flies off the end with velocity o 15 (m/s) at an angle 0 20 with respect to the horizontal. The barrel lands a distance L along the slope (measured from the end of the ramp where the barrel becomes airborne). Note that the slope is inclined at p 30 relative to level ground a) How far down the slope, L, does the barrel land, and how long, T,...
Please answer both A motocross hike drives off of a jump angled at 45 degree. When the bike leaves the jump, it has a speed of 20 m/n (about 40 mph). To ensure a smooth landing, the landing ramp nerds to be at the same angle as the hikes trajectory when it lands. If the landing ramp is 15 meters lower than the jump, what angle below the horizon should the Undoing ramp slope down? -30 degree -12 degree -58...
A solid sphere is released from the top of a ramp that is at a height h1 = 1.90 m. It rolls down the ramp without slipping. The bottom of the ramp is at a height of h2 = 1.49 m above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.12 m (a)Through what horizontal distance d, in meters, does...
Due ne wed 30A soccer hall is kicked from the ground with an initial speed of 19.5 mv's at an upward angle of 45.A player 55 m away in the direction of the kick starts running to moet the ball at that in slant. What imust be his average speed if he is to moet the ball just helore it hits the ground? ch4 "15 SSM ILW A particle leaves the origin with an initial vchK- ity . (3.00i) mrs...
A daredevil on a motorcycle leaves the speed of a ramp with a speed of 33.5 m/s as in the figure below. If his speed is 31.8 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance, m A 44.0-kg projectile is fired at an angle of 30.0 degree above the horizontal with an initial speed of 1 40 times 102 m/s from the top of a cliff...