The velocity vs. time graph for an object in motion is shown below. What is the total distance traveled by the object velocity vs time 2.5 2 1.5 1 0.5 1 4 6. -0.5 -1 -1.5 time (s) velocity (m/s)
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- The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?At the end of a race, a runner decelerates from a velocity of 9.00 m/s at a rate of 2.00 m/s2. (a) How far does she travel in the next 5.00 s? (b) What is her final velocity? (c) Evaluate the result. Does it make sense?The velocity-time graph that describes the velocity of an object with time is given as in the figure below. if the values of a= 98.5, b=124.6 and c=57, Find the displacement made by the object in the first hour. v(km/h) b. a t(h) 0.5 1.0 1.5 2.0 Select one: A. 118.1 OB. 175.1 OC 398.4 OD. 139.6 OE 142.7 choice
- A truck moves with a speed of 68 mi/h. how much is this speed in S.I. units? (1 mile = 1.609 km) O a. 30.39 m/s O b. 152.14 m/s O c. 30.39 km/h O d. 18.89 m/sFull formula Correct Correct Correct values answer, metric units inserted into rounded to the formula two decimal from the places word problemA stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 10 feet per second. A. Remembering that the acceleration due to gravity is -32 feet per second squared, how high is the stone 3 seconds later? 836 B. At what time does the stone hit the ground? -7.4 C. What is the velocity of the stone when it hits the ground? 70.24 ft syntax incomplete. US esc Cc & 6 7 081 5 %# 3
- At the end of a race a runner decelerates from a velocity of 8.70 m/s at a rate of 1.80 m/s2. A. How far in meters does she travel in the next 5.30 s? (Assume the deceleration of 1.80 m/s2is constant over the full 5.30 s.) B. What is her final velocity in m/s? C. Evaluate the result. Does it make sense? (Hint: what is the algebraic sign of the velocity, and what does it imply)A frustrated office worker throws his laptop out of his business's high- rise office building. The height, h, in meters of the laptop above the ground at t seconds can be modelled by h(t) = 125-5t². a. Determine the average rate of change between the third and fourth second of the laptop's flight. b. Estimate the rate at which the laptop hits the ground.A nerve impulse travels along a myelinated neuron at 66.5 m/s. a. What is this speed in mi/h? b. What is this speed in cm/ms?
- A stone is thrown straight up from the edge of a roof, 650650 feet above the ground, at a speed of 1616 feet per second.A. Remembering that the acceleration due to gravity is −32ft/sec2−32ft/sec2, how high is the stone 55 seconds later?B. At what time does the stone hit the ground?C. What is the velocity of the stone when it hits the ground?A person travels by car from one city to another with different constant speeds between pair of cities. She drives for 30 min at 80 km/hr, 12 min at 100 km/hr and 45 min at 40 km/h and spends 15 min eating lunch and buying gas a. Determine the average speed for the trip b. Determine the distance between the initial and final cities along the route. O 52.9 km/hr. 90 km O45 km/h, 110 km O78 km/h, 60 km5. A car with an initial velocity of 9_ m/s, accelerates at a constant rate of 3.6 m/s?. a. How much time is required for it to travel 300 meters? b. What is its velocity (in m/s) upon reaching 300 meters?