5. A motorcycle starts from rest at s = 0 and travels along a straight road with the speed shown by the v-t graph. Sketch the plot of a-t and s-t based on the v-t plot. No calculations or specific values are required. v (m/s) v = 1.25t v = 5 5 v = -t + 15 t (s) 4 10 15

A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45degree east of south, and then 280 m at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started.

using v=gt how many seconds does it take a freely falling object to gain 58 m/s in velocity

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.

A car is traveling at a speed of 29 m/s on an interstate highway where the speed limit is 76 mi/h. Is the driver exceeding the speed limit? What is the car's speed in mi/h? Observe correct number of significant figures in your final answer.

A squirrel is trying to locate some nuts he buried for the winter. He moves 5.10 m to the right of a stone and digs unsuccessfully. Then he moves 1.00 m to the left of his hole, changes his mind, and moves 8.10 m to the right of that position and digs a second hole. No luck. Then he moves 9.90 m to the left and digs again. He finds a nut at last. What is the squirrel’s total displacement from its starting point?

One of the fastest known animals is the Indian spine-tailed swift. A swift flies 2.80 km due north in a time of 32.8 s. a. What is its average velocity due north in meters per second? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. answer in m/s b. What is its average velocity due north in miles per hour? Enter a positive value if the average velocity is due north and enter a negative value if it is due south. anser in mi/h

v 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.)

I need help with this practice problem. I was given the answer key but I need help solving it step by step.  A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West.Finally the driver turns again and drives 0.5 km Northwest.(a) What is the total distance driven?(b) What are the magnitude and direction of the car’s overall displacement? Answer Key: a.) 3.5 km b.) .11 km, 9.55◦