A cannon fires a cannonball from the top of a wall at a speed of 29.13 m/s and an angle of 28.11 degrees from the horizontal. A cannonball that was accidentally dropped from the top of the castle hits the water below in 1 s. What is the horizontal distance from the wall where the fired cannonball hits the ground?
Anna walks 44 m due north, 23 m due east, and then 30 m due south. What is the direction (angle in degrees) of her net displacement as measured from the x-axis where counterclockwise is the positive direction?
A ball is launched straight up with a speed of 15.5 miles per hour. What is the maximum height reached in meters?
A train accelerates at 0.59 m/s^2 from rest to a steady speed in 95.19 seconds. It maintains that speed for 20.1 miles and then starts slowing down at 2.6 m/s^2 until coming to a stop at its destination. What is the total distance traveled in meters?
A rifle is aimed horizontally at a target 0.001 m away. The bullet hits the target 1.84 inches below the aim point. What is the bullet's time of flight?
Angry Bird is launched at 18.64 degrees from a height of 12.6 cm at an initial speed of 6.07 m/s. From this information, determine where the bird will land, in meters.
In a 4.77 km race, one runner runs at a steady 88 km/h and another runs at 2 km/h. How long, in seconds, does the faster runner have to wait at the finish line to see the slower runner cross?
What minimum speed does a 300 g puck need to make it to the top of a 0.34 m long, 24.96 degrees frictionless ramp?
A ball is thrown vertically upward and returns to the same height in 4.46 s. A second ball is thrown at 37 degrees. What speed must the second ball have to reach the same height as the first ball?
If vector A has an x-component of 2.68 m and a y-component of 3 m, and vector B has an x-component of 3.54 m and a y-component of 1.26 m, then what is the magnitude of the vector E given by the vector sum of 3A + 5B?
Aiano has been pushed to the top of the ramp at the back of a moving van. The workers think it is safe, but, as they walk away, it begins to roll down the ramp. If the back of the truck is 1 m above the ground and the ramp is inclined at 26.53 degrees, how much time do the workers have to get to the piano before it reaches the bottom of the ramp?
A crow flies 11 km west and 9 km north. A hawk flies 20 km west and 21 km north. What is the angle between these two displacement vectors?
A plane drops a package of food to stranded caribou on an ice flow in the Arctic circle. The plane flies 190.51 m above the ice at a speed of 121.33 m/s. How far short of the target should it drop the package?
A car is traveling at 52.47 mph. The driver applies the brakes and the car decelerates at 3.81 m/s^2. What is the stopping distance in meters?
A predatory fish accelerates from rest to 3.66 m/s in 0.16 s. How far, in meters, did the fish travel in this time?
A predatory fish can accelerate from rest to 4.36 m/s in 0.16 s. What is the acceleration of the fish?
A train accelerates at 4.39 m/s^2 from rest to a steady speed of 33.05 m/s. It maintains that speed for 1.04 miles and then starts slowing down at 2.65 m/s^2 until coming to a stop at its destination. What is the total distance traveled?
An object is thrown vertically upward with a speed of 15.85 mph. How much time from launch will it take to reach the bottom of a well 10.94 m deep?