person driving her car at 47.0 km/hr approaches an intersection just as the traffic light turns yellow (see figure below). She knows that the yellow light lasts only 1.80 s before turning to red, and she is a distance D = 32.0 m away from the near side of the intersection. If she decides to stop, how far from the intersection will she come to a stop? The intersection is W =16.0 m wide. Her car's maximum deceleration is -5.80 m/s2. Ignore the length of her car and her reaction time. Assume the beginning of the intersection the origin of your x-coordinate and take distances beyond the intersection to be positive and distances before the intersection to be negative.   The car can accelerate from 47.0 km/hr to 67.0 km/hr in 6.00 s. How far from the intersection will she be when the light turns red?

A golfer is teeing off on a 170.0m long par 3 hole. The ball leaves with a velocity of 40.0 m/s at 50.0 degrees above the horizon. Assuming that she hits the ball on a direct path to the hole, how far from the hole will the ball land (no bounces or rolls)? Include a drawing and all steps. Use the projectile motion equations.

A cheetah spots a Thomson's gazelle, its preferred prey, and leaps into action, quickly accelerating to its top speed of 30 m/sm/s, the highest of any land animal. However, a cheetah can maintain this extreme speed for only 15 ss before having to let up. The cheetah is 270 mm from the gazelle as it reaches top speed, and the gazelle sees the cheetah at just this instant. With negligible reaction time, the gazelle heads directly away from the cheetah, accelerating at 4.6 m/s2m/s2 for 5.0 ss, then running at constant speed. Does the gazelle escape? Yes, the gazelle will run more than the cheetah could run at all during the gazelle's acceleration. No, the cheeatah will approach the gazelle during its acceleration. Yes, but in order to escape gazelle needs to maintain the constant speed for a while. No, the cheeatah will approach the gazelle during its run at a constant speed.

Water drops fall from the edge of a roof at a steady rate. A fifth drop starts to fall just as the first drop hits the ground. At this instant, the second and third drops are exactly at the bottom and top edges of a 1.25-m-tall window. How high is the edge of the roof?

An airplane traveling horizontally 1600 m above the ocean at 68.2 m/s must drop a box of rescue supplies to sailors stranded on a remote island. 3. How many seconds before being directly above the sailors should the pilot release the box of rescue supplies? (Air resistance is negligible.) a. Time = b. Given the drop time above, what is the horizontal distance between the airplane and the stranded sailors when the box of rescue supplies must be released? (Air resistance is negligible.) Distance =

The bacterium Escherichia coli (or E. coli) is a single-celled organism that lives in the gut of healthy humans and animals. When grown in a uniform medium rich in salts and amino acids, these bacteria swim along zig-zag paths at a constant speed of 20 μm/s. Figure shows the trajectory of an E. coli as it moves from point A to point E. Each segment of the motion can be identified by two letters, such as segment BC. a. For each of the four segments in the bacterium’s trajectory, calculate the x- and y-components of its displacement and of its velocity.b. Calculate both the total distance traveled and the magnitude of the net displacement for the entire motion.c. What are the magnitude and the direction of the bacterium’s average velocity for the entire trip?

A dog jumps in a horizontal direction with an initial speed of vo=3.2 m/s from the edge of a table and lands L=2.3 m away from the table. a.hold long does it take the dog to hit the ground? (3 sig fig) b.what is the height in meters of the table? (3 sig fig)

A ball is shot with a velocity of 32 m/s at an angle of 28° from the top of a 18 m tall building. What is the horizontal distance the ball travels when it hits the ground?

Towns A and B in Figure P3.49 are 80.0 km apart. A couple arranges to drive from town A and meet a couple driving from town B at the lake, L. The two couples leave simultaneously and drive for 2.50 h in the directions shown. Car 1 has a speed of 90.0 km/h. If the cars arrive simultaneously at the lake, what is the speed of car 2?

An angry bird was launched at an angle of 25 degrees with the horizontal with a speed of 49m/s. The angry bird and the target are on the same level. How far was the target from the angry bird? How many seconds will it reach the target?