Calculate the magnitude of the acceleration (in m/s2) at t = 7.4 s
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- Problem 4: A particle moving along a straight path has an acceleration defined by a = 0.6s + 3.6 ft/s², where s is in feet. If the particle's speed is 1.2 ft/s at s = 0, find its speed when s = 8 feet.A Honda Civic travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation x (t) = at^2 -bt^3, where a = 1.50 m/s^2 and b = 0.05 m/s^3. What is the instantaneous acceleration at t = 2 s? 1.4 m/s^2 2.4 m/s^2 3.5 m/s^2 4.2 m/s^2A car is moving with a speed of 32.0 m/s. The driver sees an accident ahead and slams on the brakes, causing the car to slow down with a uniform acceleration of magnitude 3.50 m/s2. How far does the car travel after the driver put on the brakes until it comes to a stop?
- A test rocket is fired straight up from rest. The net acceleration is 20 m/s2 upward and continues for 4.0 seconds, at which time the rocket engines cease firing. What maximum elevation does the rocket reach?A car starts from rest with an acceleration of 5.3 m/s² which decreases linearly with time to zero in 10.3 seconds, after which the car continues at a constant speed. Determine the time t required for the car to travel 330 m from the start. Answer: t = i ! Spls help solve this problem
- A Thomson's gazelle can run at very high speeds, but its acceleration is relatively modest. A reasonable model for the sprint of a gazelle assumes an acceleration of 4.2 m/s2m/s2 for 6.5 ss , after which the gazelle continues at a steady speed. What is the gazelle's top speed? Express your answer with the appropriate units. A human would win a very short race with a gazelle. The best time for a 30 mm sprint for a human runner is 3.6 ss. How much time would the gazelle take for a 30 mm race? Express your answer with the appropriate units. A gazelle would win a longer race. The best time for a 200 mm sprint for a human runner is 19.3 ss. How much time would the gazelle take for a 200 mm race? Express your answer with the appropriate units.An airplane has a velocity ofv=(5m/s)i+(4m/s)jatt1=3s. For the time interval from t1=3s to t2=13s the average acceleration is a=(.5m/s2)i+(.2m/s2)j. At 13s find the magnitude and direction of the velocity of the airplane.An article explains that the locomotion of different-sized animals can be compared when they have the same Froude number, defined as F = gl velocity, g is the acceleration due to gravity (9.81 m/sec2) and I is the animal's leg length. (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for an animal with a leg length of 1.12 m. (b) Ancient footprints of a dinosaur are roughly 1.4 m in diameter, corresponding to a leg length of roughly 5.6 m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for this dinosaur is roughly 0.025. How fast was the dinosaur traveling? (a) The velocity at which this animal changes change from a trot to a gallop is (Round to the nearest tenth as needed.) where v is the animal's (...) m/sec.
- Anna starts her bicycle from rest and requires 12.5 s to accelerate to a speed of 29 km/h. Calculate the magnitude of her acceleration in m/s2.An antelope moving with constant acceleration covers the distance 65.0 mm between two points in time 7.00 ss. Its speed as it passes the second point is 16.0 m/sm/s.A rock is dropped off of a cliff. It takes 2.8s for the rock to reach the bottom. The acceleration due to gravity is 9.81 m/s2. How tall is the cliff?