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- Calculate the height (in m) of a cliff if it takes 2.32 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.19 m/s. (Enter a number.) How long (in s) would it take to reach the ground if it is thrown straight down with the same speed? (Enter a number.)A lead ball is dropped into a lake from a diving board 5.0 m above the water. After entering the water, it sinks to the bottom with a constant velocity equal to the velocity with which it hit the water. The ball reaches the bottom 3.0 safter it is released. How deep is the lake? Visual Representation• Draw a sketch showing important points in the motion• Establish a coordinate system and define symbols• Draw a motion diagram• List knowns and desired unknowns Mathematical Representation• Identify and write down the relevant equation(s), using the symbols defined in your sketch• Solve equation(s) for the desired unknown• Substitute in the known values, including units, and calculate unknown value• Check units and assess if your answer is reasonableA ball is thrown upward from a height of 1152 feet above the ground, with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t)=96−32t feet per second. a) Find s(t), the function giving the height of the ball at time t. b) How long will the ball take to reach the ground? c) How high will the ball go? Question content area bottom Part 1 a) s(t)= Part 2 b) The ball will reach the ground after ___ seconds. Part 3 c) The ball will go ____feet high.
- On the position-time graph below, sketch a plot representing the motion of an object which is ... . Label each line with the corresponding letter (e.g., "a", "b", "c", etc.) at rest. moving in the positive direction with constant speed moving in the negative direction and speeding up moving in the positive direction and slowing down moving in the positive direction at a constant speed (slow) and then later fast at constant speed moving with a negative velocity and a negative acceleration moving with a negative velocity and a positive accelerationThe figure shows a distance vs. time graph of an object with three distinct regions I, II, and III. The object’s velocity is positive in region(s) (picture) is the answer: I no region III IIYou are driving home from school steadily at 97 km/hkm/h for 160 kmkm . It then begins to rain and you slow to 61 km/hkm/h instantly. You arrive home after driving 4.5 hours. How far is your hometown from school? answer using two significant figures. What was your average speed? answer using two significant figures.
- Isaac throws an apple straight up (in the positive direction) from 1.0 m above the ground, reaching a maximum height of 35 meters. Neglecting air resistance, what is the ball’s velocity when it hits the ground? Please draw out problem.Mr. M turns while riding his bike. His initial velocity was 6.4m/s [E30.0S]. His final velocity was 8.5m/s [E30.0N]. If he completes the turn in 3.8s, what was his average acceleration? Draw a diagram with the answerA toy rocket is shot straight upward from a launch pad of 1 m above ground level with an initial velocity of 24 m/sec.a. Write a model to express the height of the rocket s (in meters) above ground level.b. Find the time(s) at which the rocket is at a height of 20 m. Round to 1 decimal place.c. Find the time(s) at which the rocket is at a height of 40 m
- You are driving home from school steadily at 99 km/h for 190 km . It then begins to rain and you slow to 63 km/h instantly. You arrive home after driving 5.0 hours. How far is your hometown from school?Express your answer using two significant figures. What was your average speed?Express your answer using two significant figures.The Shinkansen (bullet train in Japan) makes a trip from Tokyo Station to Kyoto station in 2.0 hours and 14 min. The distance traveled is 460 km (to two significant figures). Determine the average velocity of the train in meters per second (m/s). [conversions: 1 km = 1000 m, 1 hr = 3600 s, 1 min = 60 s] *Round your answer to two significant figures in the standard form* *Determine: a) Maximum velocity (in m/s). b) The total time it travels at maximum velocity. *Pls answer with complete solution. *Draw a diagram/figure with proper labels. *All final answers in THREE decimal places. *Enclose all final answers with a box. *refer from the photo attached. Thank you!