Ben B.

The range of a cannonball fired horizontally from a cliff is equal to the height of the cliff. What is the direction of the velocity vector of the projectile as it strikes the ground? (Ignore any... more

A ball launched from ground level lands 2.9 s later on a level field 42 m away from the launch point. Find the magnitude of the initial velocity vector and the angle it is above the horizontal.... more

A small steel ball is projected horizontally off the top of a long flight of stairs. The initial speed of the ball is 3.4 m/s. Each step is 0.19 m high and 0.29 m wide. Which step does the ball... more

A train pulls away from a station with a constant acceleration of 0.37 m/s2. A passenger arrives at a point next to the track 6.1 s after the end of the train has passed the very same point. What... more

A rock dropped from a cliff covers one-third of its total distance to the ground in the last second of its fall. Air resistance is negligible. How high is the cliff?

Bats use echolocation to determine their distance from objects they cannot easily see in the dark. The time between the emission of a high-frequency sound pulse (a click) and the detection of its... more

The cheetah can run as fast as 113 km/h, the falcon can fly as fast as 161 km/h, and the sailfish can swim as fast as 105 km/h. The three of them run a relay with each covering a distance L at... more

For each of the following series, tell whether or not you can apply the 3-condition test (i.e. the alternating series test). If you can apply this test, enter D if the series diverges, or C if the... more

For the following alternating series, Σ an = 1-1/10+1/100-1/1000+1/10000 ....... ^(from n=1 to infinity) how many terms do you have to go for your approximation (your partial sum) to be within... more

Find all the values of x such that the given series would converge. The Above Equation The series is convergentfrom = ? , left end included (enter Y or N): ?to = ? , right end included (enter Y... more

This is coming from the original question of : Find all the values of x such that the given series would converge. summation of ((11x)^n)/(n^10) from n=1 to infinity The series is convergentfrom... more