A body is projected vertically upwards at time t = 0 and it is seen at a height H at time ty and t2 seconds during its flight. The maximum height attained (g is acceleration due to gravity)

Q: A particle moving along a straight line is subjected to a deceleration a = (-2v^2) m/sec^2, where v…

A: Integrate the given equation to determine the equation of velocity.

Q: You are on a train that is traveling at 3.0m/s along a level straight track. Very near and parallel…

A: Draw the schematic diagram of the system.

Q: A particle’s velocity along the x-axis is described by v(t) = A t + B t2, where t is in seconds, v…

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Q: The positions of a particle along a straight line is given by s = sin(0.4t) - 5t + 11t², where s is…

A: Given:-  The position s of the particle along a straight line as  s = sin0.4t-5t+11t2 where s is in…

Q: A particle moving along a straight line such that when (t = 0), the position (S = 8 m) and the…

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Q: consider the equation for a position, s, of a particle: s(t) = 2.7t - 4.6 where s is in meters and t…

A: Given data:  Position as function of time s(t) = 2.7t - 4.6 s in meters and t in seconds Required:…

Q: The velocity of a particle at any time t moving along an x-axis is given by the following equation:…

A: Solution: To be given in question             Velocity (v) = 3t²-8t +3                  t=0  to t= 4…

Q: a) displacement and distance traveled during the time interval t = 0 to t = 3 s (Enter your answers…

A: a) Particle’s position at t= 0s, Here, t represents the time. Substitute the relevant values.…

Q: A runner is moving with a speed of 2.68[m/s]. How long will it take the runner to complete a 5.0[km]…

A: The expression for find time taken by the runner to complete the race is t=dv

Q: a car is traveling west at 22.5 m/s when it turns due south and accelerates to 40.0 m/s, all during…

A: Given data: Initial velocity (Vi) = 22.5 m/s, towards west Final velocity (Vf) = 40.0 m/s, towards…

Q: In order to go from her office to her favorite pizzeria for lunch, a woman walks due east (polar…

A: (a) Total distance traveled is D = (3.2) x5x60 + 2.7 x4x60 = 960 + 648 = 1608 m

Q: The particle travels along the path defined by the parabola y = 0.5x², where and y are in ft.…

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Q: A particle moving vertically according to the equation of motion s(t) = gt + bt, where b > 0 and g…

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Q: A particle moving along a straight line decelerates according to a = -kv, where k is a constant and…

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Q: particle moving along the x-axis has its position escribed by the function x =( 2.00 t³-4.00 t+ 5.00…

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Q: If a particle moving in a straight line with acceleration a = 5v m / s2 has a velocity v = 75 m / s…

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Q: 3

A: By using turns ratio,⇒N1N2=1000100=101where, V1= 2.5 KV=2500 VoltTransformer rating =5 KVA= 5000…

Q: A rocket car moves in rectilinear motion with velocity (in m/s): v(t) =30t + t Determine the…

A: Given, The velocity, The acceleration is given by,

Q: I throw a ball straight up in the air. It travels straight up 2 meters and then straight back down…

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Q: A small mailbag is released from a helicopter that is descending steadily at 2.15 m/s. (a) After…

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Q: A frisbee is thrown up into the air in a straight line, reaches its max height, then falls until it…

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Q: At a time t seconds, after it is thrown up in the air, a tomato is at a height (in meters) of…

A: According to question we need to find that tomato How long is the tomato in the air?

Q: An object's position as a function of time is given by the expression; x(t) = 13.9/(t+1) + 2.2t3 -…

A: Average velocity=total displacementtotal time                   ......(1)

Q: The position of a particle moving along the x-axis is given by s(t)=(5.8 m) -(3.06 m/s)t. What ist…

A: Given data:  Position of particle  s(t)=(5.8 m) -(3.06 m/s)t Required: The displacement of the…

Q: The velocity of a particle moving along a straight line is given by v = 25t²- 80t -200 where v is…

A: Motion is relative as it differs in different scenario. Attributes like velocity, displacement, etc…

Q: A projectile reaches its maximum height H at time t0 > 0. What fraction of H does it reach at…

A: Given the maximum height is H at time t0.    By the equation of kinematics, y=ut-12gt2⇒H+12gto2=uto…

Q: v sin 26, Q1) Show that R = for the range of a projectile on level ground by finding the time t at…

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Q: A train travels a distance of 300 km with an average speed of 60 km h_1. How much time does it take…

A: Given data:  Distance (d) = 300 km Speed (v) = 60 km/h Required: Time (t)

Q: he position of a particle in m is given by the expression x(t) = 2.50 t3 - 1.40, where t is in…

A: Given: The position of the particle of mass m is x(t) = 2.50t3 - 1.40 Formula used:  the velocity of…

Q: A toy frog is initially at the origin of a Cartesian coordinate system. Upon leaping, its position…

A: Initially frog at the origin, with coordinates O(0,0,0) After a second it is at point P, P=(5…

Q: Nerve impulses in a human body travel at a speed of about 100 m/s. Suppose a person accidentally…

A: The distance travelled by the nerve impulse is d=1.6m

Q: A ball is projected at 72h-1 speed from the top of building. The building is 204 metres tall. The…

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Q: If a particle has an initial velocity v0 = 12 ft/s to the right, and a constant acceleration of 2…

A: Given data: The initial velocity of a particle towards the right is v0=12 ft/s. The constant…

Q: Determining the average time of flight at a variable height Vertical Time, t Ave. time Distance Ay…

A: A table between vertical distance (y) and time(t) with three trials has been given. We have to…

Q: The position of an object moving in a straight path is given by s(t)=5t−1 What is the…

A: The instantaneous velocity is given by, v(t)=ds(t)dt Where, s(t) is position at time t.