Starting from rest, a race car moves straight up an incline with a 37.0° angle at a constant acceleration for 5.00 s such that its speed reaches 24.0 m/s. The road becomes horizontal, and the car slows down with constant acceleration as it follows a circular curve that changes its direction by 90°. The radius of the curve is 122 m, and the car is moving at a speed of 9.00 m/s at the end of the curve. Assume the ramp is in the xx-plane, and after turning, the car is moving in the y-direction. (a) Find the total displacement of the race car. A total = avg Number a avg + Number + Number (b) Find the average velocity of the race car from the start until the end of the circular curve. = = Number + Number + Number Number m (c) Find the average acceleration of the race car during this trip. + Number mj mk + Number m/s i m/sj m/sk m/s² i m/s² k

A car is parked on a steep incline, making an angle of 37.0° below the horizontal and overlooking the ocean, when its brakes fail and it begins to roll. Starting from rest at t = 0, the car rolls down the incline with a constant acceleration of 3.73 m/s2, traveling 46.0 m to the edge of a vertical cliff. The cliff is 30.0 m above the ocean. (a) Find the speed of the car when it reaches the edge of the cliff. 19.80 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s (b) Find the time interval elapsed when it arrives there. 4.96 S (c) Find the velocity of the car when it lands in the ocean. 31.30 X magnitude Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to…

You built a pinball machine that has a banked circular track with radius 0.34 m. The ball shooter launches the ball directly into this circular track before the ball enters into the game. You fire pin balls at a constant speed into the track and adjust the banking angle until it works. The banking angle is 21 degrees. Assume your pin ball machine is on a horizontal plane, how fast is the ball launched into the track, in m/s? Hint: I have a video on this problem about swing pendulum but the results are very similar, except a string length was given instead of path radius and tension was present instead of normal force. Assume friction is negligible.

To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is 100kph at the bottom A of the dip and 50 kph at the top C of the hump. The length of the road from A to Cis 120m. The radius of curvature of the hump at C is 150m. The total acceleration at A is 3 m/s^2. Determine the acceleration in m/s^2 at the point of inflection B? 60 m B. 60 m A A) 2.56 B) 4.12 c) 3.01 D 2.86 E) 2.41

A car is parked on a cliff overlooking the sea. The cliff is inclined at an angle of 29.0 degrees below the horizontal. The negligent driver leaves the car in neutral and it begins rolling from rest towards the cliff's edge with an acceleration 4.50 m/s/s. The car moves a linear distance of 57.2 m to the edge of the cliff before plunging into the ocean below. The cliff is 42.2 m above the sea. (a) Find the speed (in m/s) of the car the moment it leaves the cliff. (b) Find the time (in seconds) it takes the car to drop to the water below the edge of the cliff. (c) Find the position (in meters) of the car relative to the base of the cliff when it lands in the sea.

A small lead ball, attached to a 1.45-m rope, is being whirled in a circle that lies in the vertical plane. The ball is whirled at a constant rate of three revolutions per second and is released on the upward part of the circular motion when it is 1.7 m above the ground. The ball travels straight upward. In the absence of air resistance, to what maximum height above the ground does the ball rise?

We know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?

A spacecraft has an initial speed of 3037 m/s at an angle of 27 degrees above the positive x axis. Two engines fire for 5.4 seconds, and produce an acceleration of 9.9 m/s/s at an angle of 18.5 degrees above the positive x axis. What is the final speed of the spacecraft? What angle is it at above the positive x-axis?

An object slides along the inside of a vertical circular track and never loses contact with the track. As it slides upward it slows down, and as it slides downward it speeds up. It's not known whether it's moving clockwise or counterclockwise in the view shown. Match points A, B, C, and D with possible acceleration vectors at those points. Only one of the acceleration vectors shown is possible at each point. A с a B

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 3.40° to the horizontal. The child starts partway down the hill, 4.00 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 3.80 m/s2. How far has the child gone before her parent catches her?