A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by = [5.00 m/s - (0.0180 m/s³)t²]i + [2.00 m/s + (0.550 m/s²)t]j

Q: Suppose the position of a particle is given by x(t) = (40 m/s)t+ (β/3)t3 – (α/4)t4 where t is time…

A: Position of the particle is given by the relation : x(t) = (40ms)×t + (β3)×t3 - (α4)×t4Velocity is…

Q: Consider the case of a student wishing to investigate the acceleration of a small cart in a lab…

A: Velocity versus time graph

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Q: I am driving at 35 mph on a foggy day when I see a car 5 miles ahead of me stopped in the road with…

A: Given  Maxximum decelaration of car is 12 mph/s = 43200 mile/h² Distance of car initialy = 5 miles.…

Q: A snowboarder on a slope starts from rest and reaches a speed of 2.4 m/s after 7.1 s. (a) What is…

A: Given data:  Initial velocity (V0) = 0 m/s Final velocity (V) = 2. 4 m/s Time (t) = 7.1 s

Q: rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to…

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Q: Problem 1: WHat is the numerical value of the rate under which the free-falling object changes its…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: An object moves in one dimensional motion with constant acceleration a = 4.5 m/s². At time t = 0 s,…

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Q: You drop an object from rest (initial velocity = 0) from a height of 6.8 metres. What is the final…

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Q: If the sister's acceleration is 2.9 m/s2 in magnitude, what is the magnitude (in m/s2) of Tom's…

A: Given Data, Tom's Mass (M)=72 kg Mass of Tom's little sister (m)=15 kg

Q: Two soccer players start from rest, 43 m apart. They run directly toward each other, both players…

A: According to the given data S=43m v a1=0.49m/s2 a2= 0.46m/s2 we need tot find (a) time before they…

Q: A bug crawls across a large window. The position of the bug is given by to following equation: x(t)…

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Q: A hot air balloon is moving vertically upwards at a constant rate of 9.0 m/s. As the balloon rises,…

A: We have been given that the balloon is moving at 9.0 m/s in the positive z-direction. It drops a…

Q: a van travels a distance d=25.6m in the positive x direction in a time t1=23.7s, at which point it…

A: The objective of the question is to calculate the van's average velocity, acceleration during the…

Q: Given the position versus time plot of an object, which of the following statement is correct? 1.0F…

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Q: The position of an object is given by F(t) = [(2.30 + 1.20 t) i – 1.60 t² ĵ] m , where t is in…

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Q: A student begins at rest and then walks north at a speed of v1 = 0.55 m/s. The student then turns…

A: Given: Speed v1 = 0.55 m/s along north direction Speed v2 = 0.53 m/s along south direction Taking…

Q: A girl operates a radio-controlled model car in a vacant parking lot. The girl drives a car in a…

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Q: Given the equation vf = Vị + a*t , and multiple measurements of final velocity and time, which…

A: y=mx+c m is the slope c is the y intercept

Q: A pebble is dropped from rest from the top of a cliff. It takes Δt = 3.7 s for it to reach the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A snowboarder on a slope starts from rest and reaches a speed of 2.4 m/s after 7.1 s. (a) What is…

A: Given data: Final speed v =2.4m/s Initial speed u=0 m/s Time t=7.1s

Q: What should a graph of the velocity vs time look like if it shows an object moving to the left at a…

A: Given data:  The object is moving to the left at a constant velocity