Exam 2: Describing Motion: Kinematics in One Dimension

A foul ball is hit straight up into the air with a speed of 30.0 m/s. (a.) Calculate the time required for the ball to rise to its maximum height. (b.) Calculate the maximum height reached by the ball. (c.) Determine the time at which the ball pass a point 25.0 m above the point of contact between the bat and ball. (d.) Explain why there are two answers to part c.

A car with good tires on a dry road can decelerate at about 5.0 m/s² when braking. Suppose a car is initially traveling at 55 mi/h. (a.) How much time does it take the car to stop? (b.) What is the stopping distance?

A person walks in a distance x northward, turns around and walks a distance 7.00x southward. If the total displacement of the person from his starting position is 400 m south. What was the total distance walked?

The acceleration of an object as a function of time is given by a(t) = (1.00 m/s²)t². If displacement of the object between time t = 1.00 s and time t = 2.00 s is 15.0 m, what is the velocity of the object at time t = 0.00 s?

FIGURE 2-7 -Fig. 2-7 represents the velocity of a particle as it travels along the x-axis. In what direction is the acceleration at t = 0.5 s?

The position of a particle as a function of time is given by 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?

FIGURE 2-9 -Refer to Fig. 2-9. If you start from the Bakery, travel to the Cafe, and then to the Art Gallery, what is the magnitude of your displacement?

A stone is thrown straight up. When it reaches its highest point,

A runner leaves the starting blocks and accelerates at 2.60 m/s² for 4.00 s. What speed does the runner reach?

Can an object's velocity change direction when its acceleration is constant? Support your answer with an example.

A certain car can accelerate from 0 to 100 km/hr in 6.0 seconds. What is the average acceleration of that car in m/s²?

A man walks south at a speed of 2.00 m/s for 30.0 minutes. He then turns around and walks north a distance 6000 m in 15.0 minutes. What is the displacement of the man from his starting position?

The slope of a line connecting two points on a position versus time graph gives

Suppose a ball is thrown straight up, reaches a maximum height, then falls to its initial height. Make a statement about the direction of the velocity and acceleration as the ball is going up.

An object is thrown upwards with a speed of 14 m/s. How long does it take to reach a height of 5.0 m above the projection point while descending?

FIGURE 2-6 -Fig. 2-6 represents the position of a particle as it travels along the x-axis. What is the average velocity of the particle between t = 2 s and t = 4 s?

FIGURE 2-3 -Fig. 2-3 shows the velocity of an object as a function of time. Which graph best represents the acceleration as a function of time?

FIGURE 2-12 -Fig. 2-12 represents the position of a particle as it travels along the x-axis. At what value of t is the speed of the particle equal to zero?

FIGURE 2-7 -Fig. 2-7 represents the velocity of a particle as it travels along the x-axis. What is the average acceleration of the particle between t = 2 s and t = 4 s?

The slope of a tangent line at a given time value on a position versus time graph gives