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- You drive your car from home to school at an average speed of 60 kph East for 1 hr and then continue 80 kph North for 1.5 hrs. 1. What is your average speed for the entire trip?A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then returns to its starting point. This trip takes 0.75 hr. a) What was the bear's average speed? b) What was the bear's average velocity?Please answer the following question(s): 1. The speed of a boat in still water is vá. A river flows with a speed of v₁. The boat travels distance of 19 miles downstream in a river in 1 hour. However, the return journey takes 2 hours. Calculate the vand v₁. Hint: Velocity=displacement/time. Displacement can be positive of neagtive depending on the direction. You will first need to set up the equations by taking into account the resultant velocity of the boat in flowing water. Consider the direction the river is flowing to be positive. Set up two equations, one for the downstream journey and one for the upstream journey, in terms of "v" and "v": Do v" and "v, add or substract downstream to give the resultant downstream velocity? Do v" and "v, add or substract upstream togive the resultant upstream velocity? Use the upstream direction as negative. The resultant upstream velocity should be negative. vb vb Downstream positive Vr Upstream negative Vr
- The acceleration of an object (in m/s?) is given by the function a(t) = 4 sin(t). The initial velocity of the object is v(0) = - 5 m/s. Round your answers to four decimal places. a) Find an equation v(t) for the object velocity. v(t) = b) Find the object's displacement (in meters) from time 0 to time 3. meters c) Find the total distance traveled by the object from time 0 to time 3. metersDuring 55 successive 1.001.00 min intervals, a runner moves at the following constant speeds: 0.4000.400 km/min, 0.2000.200 km/min, 0.1100.110 km/min, 0.1100.110 km/min, and 0.3600.360 km/min. a.) Find the total distance traveled. b.) Find the average speed.A stone is thrown vertically upward with a speed of 17.6 m/sm/s from the edge of a cliff 75.0 mm high. A.)How much later does it reach the bottom of the cliff? Express your answer to three significant figures and include the appropriate units. B.)What is its speed just before hitting? Express your answer to three significant figures and include the appropriate units. C.)What total distance did it travel? Express your answer to three significant figures and include the appropriate units.
- Consider an object moving along a line with the given velocity v. Assume time t is measured in secondsand velocities have units of m/s.a. Determine when the motion is in the positive direction and when it is in the negative direction.b. Find the displacement over the given interval.c. Find the distance traveled over the given interval.v(t) = 50e-2t on [0, 4]Answer the entire problem set by using kinematic equations. Your answers must be rounded off to two decimal places. If the numerical answer exceeds 1000, do not use a comma as for 1,000. An airplane accelerates down a runway at 4.50 m/s2 for 45.6 s until it finally lifts off the ground. Determine the distance traveled before takeoff.A ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864 ft) with an initial velocity of 30 ft/sec. The initial acceleration is given by a=−32 ft/sec2. 1. Write the velocity equation with t as the variable and v as velocity. 2. Write the displacement equation with t as the variable and s as the displacement. 3. Find the velocity at 2 seconds. ______ ft/s 4. Find the height above the ground at 2 seconds. ______ft
- A student witnesses a flash of lightning and then t = 1.5 s later the student hears the associated clap of thunder.Sound travels at 343 m/s in the air. What distance from the student is the lightning strike, in meters? Light travels at 3.0 × 108 m/s in the air. How long, t1, in seconds did it take the light to reach the student's eyes after the lightning strike?The displacement of a particle is given by s = 3t3 - 42t2 + 109t - 39 where s is in feet and t is in seconds. Plot the displacement, velocity, and acceleration as functions of time for the first 11 seconds of motion. After you have made the plots, answer the questions. Questions: Att = 2.4 ft. v= ft/sec. a = ft/sec? sec, Att= 5.4 i ft, v= i ft/sec, a = i ft/sec? S= sec, Att = 8.5 ft. v= i ft/sec, a = i ft/sec? sec, The velocity is zero when t = i sec and when t = i secA pumpkin is shot straight up with an initial speed of 5.9 m/s. What is the maximum height it can reach, in meters? Use g = 10 m/s2.Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.