8. A motorbike is ridden up the left side of a symmetrical ramp. The bike reaches the top of the ramp at speed u, becomes airborne and falls to a point P on the other side of the ramp. e In terms of u, land g, obtain expressions for: (a) the time t for which the motorbike is in the air (b) the distance OP (= 1) along the right side of the ramp.
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![8. A motorbike is ridden up the left side of a symmetrical ramp. The bike
reaches the top of the ramp at speed u, becomes airborne and falls to a point P
on the other side of the ramp.
e
In terms of u, land g, obtain expressions for:
(a) the time t for which the motorbike is in the air
(b) the distance OP (= 1) along the right side of the ramp.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b6ef624-874a-4f17-a7e6-b693278fae3a%2Fc6ec4b57-1aaa-4562-8ad2-20b69f41185d%2Fvmkuz14_processed.jpeg&w=3840&q=75)
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- GP A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of 18.0 m/s. The cliff is 50.0 m above a flat, horizontal beach as shown in Figure P3.23. (a) What are the coor- dinates of the initial position of the stone? (b) What are the components of the initial velocity? (c) Write the equations for the x- and y-components of the veloc- ity of the stone with time. (d) Write the equations for the position of the stone with time, using the coor- dinates in Figure P3.23. (e) How long after being = +18.0 m/s h= 50.0 m released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does Figure P3.23 the stone land?a. A student tosses a coin into a large wishing well and wishes for good marks in physics. The coin is thrown from a height of 2.50 m above the water surface with a velocity of 4.00 m/s at an angle of 60.0° above the horizontal. As the coin strikes the water's surface, it immediately slows down to exactly half the speed it had when it struck the water and maintains that speed while in the water. After the coin enters the water, it moves in a straight line in the direction of the velocity it had when it struck the water. If the well is 2.90 m deep, how much time elapses between when the coin is thrown and when it strikes the bottom of the well? b. A projectile is fired in such a way that its horizontal range is equal to 8.5 times its maximum height. What is the angle of projection?ab 3. Three projectiles (A, B, and C) are launched with different initial speeds so that they reach the same maximum height, as shown in the figure. List the projectiles in order of increasing initial speed (smallest v; written in the first blank). у then
- A physics student stands on a cliff overlooking a lake and decides to throw a softball to her friends in the water below. She throws the softball with a velocity of 24.5 m/s at an angle of 31.5° above the horizontal. When the softball leaves her hand, it is 12.5 m above the water. How far does the softball travel horizontally before it hits the water? Neglect any effects of air resistance when calculating the answer. Macmillan Learning horizontal distance: EY 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? O 0.05 O 0.01 0.1 O 0.5 0.2A skier traveling horizontally at 7.00 m/s shoots off a vertical cliff. Moments later she hits horizontal snow again with a velocity at an angle of 55 degrees below the horizontal. A. Find her velocity as she hits the snow? B. For how long was she in the air? C. How far did she land from the foot of the cliff?
- 4. At the construction site of a tall building, a worker is in an elevator descending at a constant downwards velocity of 5 m/s. When the elevator is 40 meters above ground level, her friend, standing at ground level, tosses a wrench straight upward with an initial speed of 25 m/s. Take the time when the wrench is tossed as t = 0. For this problem, use g = 10 m/s². a. Draw a labeled picture with symbols and all relevant values. Quantities that are different should be given different symbols, for example y, and Yw. b. Graph the velocities versus time of the elevator and the wrench on the same graph. Label axes of the graph (with units). C. At what time does the wrench and the elevator have the same velocity? 20 10 -10 -20 3 4 time (s) d. Which object (the wrench or elevator) is higher when their velocities are the same? By how much is one object higher than the other at this time? (s/u) kaDuring a baseball game, a baseball is struck at ground level by a batter. The ball leaves the baseball bat with an initial speed v0 = 42 m/s at an angle θ = 43° above horizontal. Let the origin of the Cartesian coordinate system be the ball's position the instant it leaves the bat. Air resistance may be ignored throughout this problem. a.)Express the magnitude of the ball’s initial horizontal velocity v0x in terms of v0 and θ. b.)Express the magnitude of the ball’s initial vertical velocity v0y in terms of v0 and θ. c.)Find the ball’s maximum vertical height hmax in meters above the ground.Neglecting air friction, which describes the behavior of the x component of the velocity of a projectile motion? O It increases uniformly. It doesn't change. O It decreases uniformly. Its speed is zero.
- Some children are practicing baseball and accidentally throw a ball onto the roof of one of their houses. Suppose that the baseball was thrown at an angle of 51° above the horizontal at a speed of 25 m/s. The ball rises to its maximum height before falling onto the roof of the house 3.6 m above the level at which it was thrown.a. determine the total time, in seconds, the baseball spends in the airb.calculate the distance in meters,between the baseball's launch point and its landing pointAn archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.745 m above his mouth. a. What is the minimum speed at which the archer fish must spit? answer in m/s b. What angle (in degrees) above the horizontal must he spit? answer in degreesA) With what speed, in meters per second, does the stone strike the ground? vf=