The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of -5.60 m/s² for 4.20 s, making straight skid marks 62.4 m long all the way to the tree. With what speed does the car then strike the tree?
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- A speeding car is traveling at a constant 30.0 m/s when it passes a stationary police car.If the police car delays for 1.00 s before starting, what must be the magnitude of theconstant acceleration of the police car to catch the speeding car after the police cartravels a distance of 300 m?If the car’s speed decreases at a constant rate from 79 mi/h to 50 mi/h in 3.0 s, what is the magnitude of its acceleration, assuming that it continues to move in a straight line?A particle is initially at rest and begins to accelerate to the right as 27.7t-t^2 m/s. How far does the particle move in 5.1 seconds?
- A speeder travelling at a constant velocity of 40 m/s passes by a police car that is initially at rest. Soon afterwards, the police officer starts moving towards the speeder with an uniform acceleration of 5.33 m/s2. What is the position of both cars, in meters, when the police officer catches the speeder? Take the initial position of the officer as the origin of the x-axis.A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.8 m. The plane decelerates through the intersection at a rate of 5.56 m/s2 and clears it with a final speed of 43.1 m/s. How much time is needed for the plane to clear the intersection?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?A sports car moves at a constant velocity and travels 120m in 5.0s. If it brakes and comes to a stop in 4.0s, what is the magnitude of acceleration (assumed constant) in m/s2 and in g's (g=9.80 m/s2)A puma jumps to a height of 2.85 m when leaving the ground at an angle of 42.6°. What is its initial speed (in m/s) as it leaves the ground?
- A brick is thrown upward from the top of a building at an angle of 40° to the horizontal and with an initial speed of 17 m/s. If the brick is in flight for 2.5 s, how tall is the building?A speed skater increases his speed from 10m/s to 12.5m/s over a period of 3s while coming out of a curve of 20m radius. What is the magnitude of the resultant acceleration as he leaves the curve?A jet plane comes in for a landing with a speed of 120 m/s. The length of the runway is 500 m. From the instant the plane touches the runway, What is the time interval needed to come to rest (in seconds)?