5. A car with an initial velocity of 9 m/s, accelerates at a constant rate of 3.6_ m/s. a. How much time is required for it to travel 300 meters? b. What is its velocity (in m/s) upon reaching 300 meters?
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- (a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed?A. If an automobile with a velocity of 4.0 m/s accelerates at a rate of 4.0 m/s2 for 2.5 s, what is the final velocity? B. If a cart slows from 22.0 m/s with an acceleration of -2.0 m/s2, how long does it require to get to 4 m/s?A. Suppose a planner is designing an airport for small airplanes. Such planes must reach a speed of 56 m/s before takeoff and can accelerate at 12.0 m/s2. What is the minimum length for the runway of this airport? B. How long does it take a car to travel 30.0 m if it accelerates from rest at a rate of 2.00 m/s2? C. A baseball pitcher throws a fastball with a speed of 30.0 m/s. Assume the acceleration is uniform and the distance through which the ball is accelerated is 3.50 m. What is the acceleration?
- 2. A jet plane has a takeoff speed of vtakeoff = 73 m/s and can move along the runway at an average acceleration of 2.4 m/s2. The runway is 1.2 km. Write out the 3 Kinetic equations. a. b. Write out the values of initial position, initial velocity, and acceleration. How many seconds will it take for the plane to reach takeoff speed? с. d. How far will the plane have to travel to get to takeoff speed? will the plane be able to get to take off before it gets to the end of the runway? е.The Grand Canyon is 6000 feet deep at the deepest part. A rock is dropped from this height. (The acceleration due to gravity is -32 feet/sec2.) a. Express the height of the rock as a function of the time (in seconds). b. How long will it take the rock to hit the canyon floor? c. With what velocity does the rock hit the canyon floor? With what acceleration?An object is thrown straight up with an initial velocity of 31 m/s. a. How high does it go in meters? b. How long is it in the air in seconds?
- B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a height of S= 160t - 16t2 ft after t sec. Find: i. How high does the rock go? ii. What are the velocity of the rock when it is 256 ft above the ground on the way up? iii. What is the acceleration of the rock at any time t? iv. When does the rock hit the ground again?A car is traveling at a steady 80 km/h in a 50 km/h zone. A police motorcycle takes off at the instant the car passes it, accelerating at a steady 8.0 m/s2.a. How much time elapses before the motorcycle is moving as fast as the car?b. How far is the motorcycle from the car when it reaches this speed?A. The velocity of a car increases from +2.0 m/s to +16.0 m/s in a time period of 3.5 s. What was the average acceleration? B. If an automobile slows from +26 m/s to +18 m/s in a period of 4.0 s, what was the average acceleration?
- At the end of a race a runner decelerates from a velocity of 8.70 m/s at a rate of 1.80 m/s2. A. How far in meters does she travel in the next 5.30 s? (Assume the deceleration of 1.80 m/s2is constant over the full 5.30 s.) B. What is her final velocity in m/s? C. Evaluate the result. Does it make sense? (Hint: what is the algebraic sign of the velocity, and what does it imply)Full formula Correct Correct Correct values answer, metric units inserted into rounded to the formula two decimal from the places word problem7. A construction worker accidentally drops a brick from a high scaffold. a. What is the velocity of the brick after 4.0 s? b. How far does the brick fall during this time? 8. An airplane accelerates down a runway at 3.20 m/s? for 32.8 s until is finally lifts off the ground. Determine the distance traveled before takeoff.