Buster wants to demonstrate constantly-accelerated motion by letting a frictionless ice cube slide down an inclined plane. The ramp is L= 1.5 meters long. Buster can control the angle θ that the plane makes with the floor. He plans to release the ice cube from rest at the top of the ramp. If Buster wants the time the ice cube takes to completely slide down the ramp to bet= 2.0 s, what angle θ should the ramp make with the floor?

Buster wants to demonstrate constantly-accelerated motion by letting a frictionless ice cube slide down an inclined plane. The ramp is L= 1.5 meters long. Buster can control the angle θ that the plane makes with the floor. He plans to release the ice cube from rest at the top of the ramp. If Buster wants the time the ice cube takes to completely slide down the ramp to bet= 2.0 s, what angle θ should the ramp make with the floor?

Similar questions

This is part of a lesson plan for the calculus class I am taking. The solution is in the textbook, but I do not understand where they came up with the answers. I am looking for a different way to solve it so I can try to understand for my test.
A golf ball (m = 67.8 g) is hit by a clab that makes an angle of 25.1° with the horizontal. The ball lands 222 m away on a flat fairway. The acceleration of gravity is 9.8 m/s2. If the golf club and ball are in contact for 3.34 ms, what is the average force of impact? Neglect air resistance. Answer in units of N.
You place a crate of mass 47.7 kg on a frictionless 3.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.15 s after you released it. What is the angle of the incline? 1 50.7 degrees 76.1 degrees 3. 42.3 degrees 4 33.8 degrees
A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer
A 5-kg block is set into motion up an inclined plane (30°) with an initial speed of 8.0 m/s. There is friction between the block and the plane. The block comes to rest after traveling 3.0 m along the plane. Define the positive x-direction to be down the ramp.
A ball of mass 1.6 kg and a diameter of 41.1 cm is attached to a string of length 1.1 m. It moves in a circular path at constant speed, 4.5 m above the ground. The string makes a constant angle of 42° with respect to vertical. m (a) What is the speed of the ball? (b) What is the tension in the string?
An Olympic diver is on a diving platform 4.5 m above the water. To start her dive, she runs off of the platform with a speed of 1.3 m/s in the horizontal direction. Determine the diver's speed just before she enters the water. 4.7 m/s 9.5 m/s 6.4 m/s 0 m/s
You place a crate of mass 20.3 kg on a frictionless 2.61-meter-long incline. You release the crate from rest, and it begins to slide down, eventually reaching the bottom 1.01 s after you released it. What is the angle of the incline? 37.7 degrees 31.4 degrees 44.0 degrees 57.2 degrees
A small child is learning to ride a bike for the first time. Her dad decides it would be a good idea to start her on a small hill. The hill is inclined at 3.00° to the horizontal. The child starts partway down the hill, 9.00 m away from her dad, who stays at the top. She starts to wobble, so her dad sprints toward her from rest with an acceleration of 1.40 m/s2. How far has the child gone before her parent catches her?
Two fan carts are on parallel inclined tracks are facing opposite directions. At t=0, the carts are 2.88 m apart with the fans on and they are both given a sharp push toward each other against the direction the fans are pushing them. Cart A begins (after the push) with a speed of 1.35 m/s to the right and has an acceleration of 0.44 m/s? to the left. Cart B begins (after the push) with a speed of 1.05 m/s to the left and has an acceleration to the right of 0.52 m/s?. (Hint: Keep your positive and negative directions consistent for both carts.) A a) At what two times do the two cars pass each other? b) What are the two positions at which the cars pass each other? c) What is the velocity of each car when they pass each other? d) Graph the motion of each on the position vs. time graphs and velocity vs. time graphs on the next page. time (s) time (s) (w) uojiisod velocity (m/ş)
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 golfer hits a shot to a green that is elevated 2.70 m above the point where the ball is struck. The ball leaves the club at a speed of 17.9 m/s at an angle of 42.0° 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. V= i +