Over a distance of 230 meters, an automobile going initially at +7.0 m/s accelerates evenly at +0.20 m/s 5. What is its final velocity after the acceleration?
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- You throw a ball straight up with an initial velocity of 16.2 m/s. It passes a tree branch on the way up at a height of 6.75 m. How much additional time (in s) will pass before the ball passes the tree branch on the way back down?A football running back rushes 13 m straight down the playing field in 2.1 s (in the positive direction). He is then hit and pushed 3.5 m straight backwards in 1.95 s. He breaks the tackle and rushes straight forward another 21 m in 4.2 s. Part (a) Calculate the running back's average velocity in the horizontal direction during the first interval, in meters per second. Part (b) Calculate the running back's average velocity in the horizontal direction during the second interval, in meters per second. Part (c) Calculate the running back's average velocity in the horizontal direction during the third interval, in meters per second. Part (d) Calculate the running back's average velocity in the horizontal direction for the entire motion, in meters per second.An object slows down from a velocity in the positive direction of 60mi/h to 25mi/h over the course of 3s. What is the average acceleration of this object during this process?
- A speed skater moving to the left across frictionless ice at 7.8 m/s hits a 4.5-m-wide patch of rough ice. She slows steadily, then continues on at 6.1 m/s What is the magnitude of her acceleration on the rough ice?A ball is hit straight up with an initial speed of 28 m/s. What is the speed of the ball 2.2 seconds after it is hit?During a walk on the Moon, an astronaut accidentally drops his camera over a cliff. It leaves his hands with zero speed, and after 2.00 s it attains a velocity of 8.30 m/s downward. How far has the camera fallen after 7.90 s?
- A load of bricks is lowered by a crane at a steady velocity of 5.0 m/s when one brick falls off 20.0 m above the ground. 9. What is its speed just before it hits the ground? 10. How long does it take to reach the ground? (Assume acceleration due to gravity is 9.81 m/s²)An express train passes through a station. It enters with an initial velocity of 22.0 m/s and decelerates at a rate of 0.150 m/s² as it goes through. The station in 210.0 m long. How fast is it going when the nose leaves the station?A car is traveling along a straight road at a velocity of +39.5 m/s when its engine cuts out. For the next 2.81 seconds, the car slows down, and its average acceleration is a,. For the next 5.65 seconds, the car slows down further, and its average acceleration is ₂. The velocity of the car at the end of the 8.46-second period is +28.6 m/s. The ratio of the average acceleration values is ā,/₂ = 1.78. Find the velocity of the car at the end of the initial 2.81-second interval. 2
- A pickup truck is traveling at 30.0 m/s. The driver of the truck applies the brakes and gives the truck a uniform deceleration of 6.50 m/s2² while it travels 20.0 m. What is the speed of the truck in m/s at the end of this distance?A cart is given an initial velocity of 8.1 m/s and experiences a contestant acceleration of 3.4m/s2. What is the magnitude of the cart's displacement during the first 15s of its motion?A car starts from rest, then accelerates at a constant rate over a distance of 80 m. It then immediately decelerates at a constant rate over a distance of 136 m. The entire trip lasts a total duration of 26.0 s. What were the magnitudes of the cars accelerations for the speedup and slowdown stages respectively?