in the Cartesian coordinate system, a particles in X-position is defined by x = 8 t ft, where the time t is in seconds. If the equation for the path is it? y=x2/10, calculate the magnitude of the acceleration at t = 2 sec in ft/sec². Eest
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- The correct conversion of speed limit of 65 mi/h in terms of SI unit is 1.609 km) (Given 1 mile = Oa 16.67 m/s O b. 18.06 m/s Oc 29.05 m/s Od. 234 m/sFind her distance R from the starting point in kilometersWhile exploring a cave, a spelunker starts at the entrance and moves the following distances. She goes 75.0 m north, 250 m east, 115 m at an angle 30.0° north of east, and 185 m south. Find the resultant displacement from the cave entrance. The figure below suggests the situation but is not drawn to scale.
- D = (oxt) + (1/2 * 8.93* (4.7)2) I D = 98.63 meter 5. You are about to skateboard down a long hill. Your initial velocity is 2.0 m/s south. When you reach the bottom of the hill you are travelling 6.0 m/s south. It took you 57 seconds to reach the bottom of the hill. What was your displacement?The velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.Can you go step by step.
- If you want to go by train from Los Angeles to New York, you must make a stop. First, you musttravel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45◦ North of Eastto reach New York.(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick markshould represent 300 miles.(b) If you flew directly from Los Angeles to New York, how far would the flight be? Please show your workv sin 20 gives the distance x travelled (in feet) by a projectile launched from 32 The formula r% = the ground, with initial velocity v (in feet/sec) and initial angle 0 (in radians or degrees). a. Write an expression for the total differential in x. b. Use the total differential to estimate the error in calculating the range of a projectile with initial velocityv 100 ft/sec and initial angle 0= 50 degrees, with measurement errors of dv = t10 ft/sec (for velocity) and d6==5 degrees (for the initial angle). (Note: remember to use radians for the differential in 0.)help answer please.
- IPA child rides a pony on a circular track whose radius is 5.9 m Part A Find the distance traveled after the child has gone halfway around the track. Express your answer using three significant figures. m Submit Request Answer Part B Find the displacement after the child has gone halfway around the track. Express your answer using three significant figures. Πνα ΑΣφ ? Az = m Submit Request AnswerAfter conducting the signal speed experiment a student has recorded the following data. L₂ (m) 1.5 3 4.5 8 15 30 dt (ns) 6.50 13.72 21.02 38.10 72.20 145.42 L2 is the length of the longer cable in meters and dt is the measured time delay in nanoseconds. The student neglected to record L₁, the length of the shorter cable. After speaking with their instructor, they learn all is not lost. They know the speed of the signal can be calculated based on the distance traveled divided by the time. However, the recorded times measure how much longer the signal had to travel in L2 compared to L₁. A little bit of thought convinces them (correctly) thatBicyclists in the Tour de France reach speeds of 500 miles per hour (mi/h) on flat sections of the road. What is this speed in kilometers per second (km/sec)? cf. 1 mile = 1.609 km