Exam 2: Motion in One Dimension

When a ball is thrown straight up with no air resistance, the acceleration at its highest point

A ball is thrown downward from the top of a building with an initial speed of 25 m/s. It strikes the ground after 2.0 s. How high is the building, assuming negligible air resistance?

A car starts from rest and accelerates at a steady 6.00 m/s². How far does it travel in the first 3.00 s?

Consider a car that travels between points A and B. The car's average speed can be greater than the magnitude of its average velocity, but the magnitude of its average velocity can never be greater than its average speed.

Car A is traveling at 22.0 m/s and car B at 29.0 m/s. Car A is 300 m behind car B when the driver of car A accelerates his car with a uniform forward acceleration of 2.40 m/ $s ^ { 2 }$ . How long after car A begins to accelerate does it take car A to overtake car B?

Human reaction time is usually greater than 0.10 s. If your friend holds a ruler between your fingers and releases it without warning, how far can you expect the ruler to fall before you catch it, assuming negligible air resistance?

A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then 1.0 km north to return to its starting point. This trip takes 45 min. What was the bear's average speed?

The graph in the figure shows the position of a particle as it travels along the x-axis. What is the magnitude of the instantaneous velocity of the particle when t = 1.0 s?

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and decrease their velocities at the same rate. If car B travels a distance D before stopping, how far does car A travel before stopping?

A car starts from rest and accelerates uniformly at 3.0 m/s² toward the north. A second car starts from rest 6.0 s later at the same point and accelerates uniformly at 5.0 m/s² toward the north. How long after the second car starts does it overtake the first car?

A car starting from rest accelerates at a constant 2.0 m/s² for 10 s. It then travels with constant speed it has achieved for another 10 s. Then it finally slows to a stop with constant acceleration of magnitude 2.0 m/s². How far does it travel after starting?

An object is moving with constant non-zero acceleration in the +x direction. The position versus time graph of this object is

The velocity v(t) of a particle as a function of time is given by v(t) = (2.3 m/s) + (4.1 m/s²)t - (6.2 m/s³)t². What is the average acceleration of the particle between t = 1.0 s and t = 2.0 s?

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery (a) what distance you have traveled? (b) what is your displacement?

Acceleration is sometimes expressed in multiples of g, where $g = 9.8 \mathrm {~m} / \mathrm { s } ^ { 2 }$ is the acceleration of an object due to the earth's gravity. In a car crash, the car's forward velocity may go from $29 \mathrm {~m} / \mathrm { s }$ to $0 \mathrm {~m} / \mathrm { s }$ in $0.15 \mathrm {~s}$ How many g's are experienced, on average, by the driver?

Two athletes jump straight up. John has twice the initial speed of Harry. Compared to Harry, John stays in the air

A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s?

A child standing on a bridge throws a rock straight down. The rock leaves the child's hand at time t = 0 s. If we take upward as the positive direction, which of the graphs shown below best represents the velocity of the stone as a function of time?

The position x(t) of a particle as a function of time t is given by the equation x(t) = (3.5 m/s)t - (5.0 m/s²)t². What is the average velocity of the particle between t = 0.30 s and t = 0.40 s?

Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation