The upward velocity of a rocket, measured at 3 different times, is shown in the following table Time, t Velocity, v (seconds) (metres/second) 106.8 5. 8. 177.2 12 279.2 The velocity over the time interval 5
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- A golf ball is fired straight up into the air from ground level. It reaches a maximum height at ℎ = 504 meters. The speed of the golf ball in meters per second is 99.41. Calculate the flight time in ttotal in seconds until the golf ball reaches the ground.You are driving along at a constatnt speed of 26 m/s and you look down at your phone to read a text message for 2.5 seconds. How many meters does the car travel while you are not looking?A kangaroo can jump over an object 1.3 m high. Considering just its vertical motion, how long the kangaroo is in the air (hint: consider up and down motions)? Write the answer in seconds. of on Answer: 0.515
- particle moves according to a law of motion .. 10). t20. where t measured in seconds and s in feet. (If an answer does not kist, enter DNE.) s = f(t), f(t) = t3 – 8t2 + 24t (a) Find the velocity at time t. v(t) = ft/s (b) What is the velocity after 1 second? v(1) = ft/s (c) When is the particle at rest? (d) When is the particle moving in the positive direction? (Enter your answer using interval notation.) (e) Find the total distance traveled during the first 6 seconds. ft (f) Draw a diagram like this figure to illustrate the motion of the particle. S t = 0 S= 0 t = 6 s= 72 t = 0 s = 0 t = 6 s= 72 t = 0 8 t = t = 0 t = 3 1600 S= 0 S= 0 1600 S = 27 27 (g) Find the acceleration at time t and after 1 second. a(t) = ft/s2 a(1) = ft/s² (h) Graph the position, velocity, and acceleration functions for 0sts6. (A graphing calculator is recommended.) 60 60 40 40 20 20 3 4 5 4 - 20 - 20 60 60 40 40 20 20 3 6. 3 5 a - 20 - 20 (i) When is the particle speeding up? (Enter your answer using interval…I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down where I catch it at the same height it was released from. The distance the ball has traveled is meters. The displacement of the ball is meters. (use the proper number of sig figs in your answer given the provided information).Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
- H.W: A ball thrown up from a rooftop of height 40m lands on ground in 4s. (a)what is its maximum height above the ground? (b)what is its velocity 15m below the rooftop? Ans. (a)44.7m (b) v = -19.65 ! H.W: An object is thrown horizontally at 20m/s from a cliff top 45m above sea level. Find (a)the time to land; (b)the angle at which it hits the water; (c)the speed at which it hits the water. Ans. (a)3.03s (b)0 = -54.73 (c)35.79m/sHoping for complete solutions since I’m having a hard time with this. Pls skip if unsure or not willing to answer the subitems (these are all connected for one item). Thanks in advanced! Hardy, an avid TikToker, decided to look at his wristwatch to tell his friend dolphins the current time.However, his dolphins only understand the time if it is stated in terms of the resultant vector when the hourhand and minute hand vectors are added together. Assume that both vectors point from the center, outward.The length of the hour hand is ?. ?? [cm]; while the length of the minute hand is ?. ?? [cm]. Assume the hourhand only moves every hour.Follow this format in answering each sub-item:a. Draw the position of the hour and minute hands on an analog clock for this time configuration. Labelyour illustration with relevant angles and magnitudes b. Decompose the components of each vector along the ? and ? direction. c. Calculate for the resultant vector and express in the form required in each item.…Driving along a crowded freeway, you notice that it takes atime t to go from one mile marker to the next. When you increaseyour speed by 7.9 mi>h, the time to go one mile decreases by 13 s.What was your original speed?
- The approximate distance d (in feet) that drivers travel afternoticing that they must come to a sudden stop is given by thefollowing formula, where x is the speed of the car (in mi/h):d x x220If a car travels 75 ft before stopping, what was its speedbefore the brakes were applied?A juggler throws a ball straight up into the air. If the ball returnsto its original position in the juggler’s hand in 0.98 s, what was itsmaximum height above the juggler’s hand?A mouse wants to jump onto a table that is [y] cm high in order to escape from my cat Jackie. Standing [x] cm from the table it jumps, leaving the ground at an angle of [th] degrees, landing on the edge of the table. What is the initial speed of the mouse in meters per second?