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…

A:

Q: a truck travels a distance d=22.1m in the positive x direction in a time t1=17.7s, at which point…

A:

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…

A:

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

A:

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

A:

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

A:

Q: Starting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m/s,…

A: Acceleration of particle a =(2t - 6)m/s2 a =dvdt dv =a.dt integrate both side V = ∫04(2t -6) dt V =…

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…

A:

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

A:

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

A:

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: The position of a particle moving along the x axis is given by x(t) = (4.99 m) - (3.83 m/s)t. What…

A: Let us calculate the positions of a given particle at different intervals, as shown below. x(t) at…

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: Initially (at time t = 0) a particle is moving vertically at 6.9 m/s and horizontally at 0 m/s. Its…

A:

Q: The displacement of a particle is given by s= 5t³-76t²+116t-54 where s is in feet and t is in…

A: Given, s= 5t3 - 76t2 + 116t - 54 Velocity, v = ds/dt v = 15t2 - 156t + 116 Acceleration, a = dv/dt a…

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: Taking north to be the positive y direction and east to be the positive x direction, a particle's…

A: The objective of the question is to find the time at which the particle is traveling exactly…

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

A:

Q: The equation of motion of a particle started at t = 0 is given by x =5 sin (20 t + T/3), where x is…

A: The equation of motion of the particle is given as : x=5sin20t+π3 The velocity of the particle is :…

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: A hot-air balloonist, rising vertically with a constant velocity of magnitude v = 5.00 m/s, releases…

A:

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…

A: