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- tourist throws a rock horizontally off the edge of a high cliff, with an initial velocity of lo m.s! a) Taking the y-axis to be upward, write equa- tions for the x- and y. coordinates as functions of time. b) Calculate the values of x and y at times t=0, 0.5, 1.0, 1.5 and 2.0 S c) Write equations for the x and y components of the rock's velocity. d) Find the magnitude and direction of the velocity at time to los. Is the velocity tangent to the trajectory?In a total time of 3.0 minutes, a duck on a pond paddles 31 m [N33oE] and then paddlesanother 57 m [E28oS]. Solve for the displacement graphically (with a ruler andprotractor) and then answer the questions. Using the displacement you determined from your graph, what was the duck’s average velocityfor the trip? What total distance did the duck travel? What was the average speed of the duck for the whole trip?Sammy the sugar glider is out one morning foraging for fruit. He waddles his body along a tree branch 4.2m at 30degrees EoN and then turns and leaps and glides to a nearby tree that is 6.5m at 15degrees NoW. Using the triangle method, what was his overall displacement?
- . When we estimate distances from velocity data, it is some- times necessary to use times fo, f1, fz, fz, ... that are not equally spaced. We can still estimate distances using the time periods At; = ti – ti-1. For example, on May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table, provided by NASA, gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters. Use these data to estimate the height above the earth's surface of the space shuttle Endeavour, 62 seconds after liftoff. Event Time (s) Velocity (ft/s) Launch Begin roll maneuver End roll maneuver 10 185 15 319 Throttle to 89% Throttle to 67% 20 447 32 742 Throttle to 104% 59 1325 Maximum dynamic pressure Solid rocket booster separation 62 1445 125 4151The kinematic equations can describe phenomena other thanmotion through space and time. Suppose x represents a person’sbank account balance. The units of x would be dollars($), and velocity v would give the rate at which the balancechanges (in units of, for example, $/month). Accelerationwould give the rate at which v changes. Suppose a personbegins with ten thousand dollars in the bank. Initial moneymanagement leads to no net change in the account balance sothat v0 =0. Unfortunately, management worsens over time sothat a = -2.5 x 102 $/month2. Assuming a is constant, findthe amount of time in months until the bank account is empty.The moticn of a ball scooped bya field hockus player can be moeleled by n=-16b^(2)+40b where b is the time in selends and h is the neignt of the ball. Will the ball ever reach 22 teat?
- ea curved path particle moving alenge a has it's parametric equation : - 3+ ,Y=4C05 3t,2=5 siu 2t (a find te velocity at eny time 9. ) fin d th velocity at t=03. -/11 points V SERCP11 3.2.OP.007. R My Notes Ask Your Teacher v A man stands at the edge of a cliff and throws a pebble horizontally over the edge with a speed of v, = 19.0 m/s. The pebble leaves his hand at a height of h = 34.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the pebble leaves the hand. (a) What are the coordinates of the initial position of the pebble? (Enter your answers in m.) У, 34 (b) What are the components of the initial velocity? (Enter your answers in m/s.) 19 m/s Voy = 0 m/s (c) Write the equations for the x and y-components of the velocity of the pebble with time. (Use the following as necessary: t. Assume that v and v are in m/s and tis in seconds. Do not include units in your answers.) V. 19 m/s m/s (d) Write the equations for the position of the pebble with time, using the coordinates in the figure. (Use the following…2 / 2 回の 100% golter the 2) takes three putts the hok to The ball 1.83 m ball into Pirst patt displaces 3, 66 m. s the the north Sontheast and southwst, seemd Hhe third What the are the magnitude direehm needled huk and 5) displacement ball the ot to get the nto He frst putt? on :Use the Coordinnte System shown mear
- Ateation Accelexaten Can be deksmined Gram (muliele Arsuas) A) eqations of Censtant acceleration in the arceleration onslant. b equations of canstant aceleraton vegard less e the acceleration. 8S Constant. ) Slope of velocdy Versus fime Slope of posilion Veasus fime €) An accelecation VS Time giaph 0 froma thaical vake if he mokon s pakeble ar freefall.I am having trouble solve a beggining question for my physics lab course. I have to dervive a formula for time given the equations in the photo attatched. In this experiment a cannon is being fired at a specified height and angle. To start, the cannon is set to a height of 10m and the angle of the launch being set at 0 degrees.A cart starting from rest at a height of 1.00 m above a tabletop can roll down two different ramps—one that goes in a straight line from A to B at a 15º incline, and one that descends at a 30º incline from A and is then level until B. Calculate the time it takes for the car to get from A to B along each ramp. The answers are 1.74 s and 1.35 s. I need help on some of the steps
