particle A particle moves along the -axis with position varying according to the expression  2.5t 3 where  x is in meters   and  t is in seconds. a. What is the velocity of the particle at t = 2 seconds? b. What is the acceleration of the particle at t = 3 seconds? c. Two parallel vectors, X and Y, may have a scalar product equal to   ___. d.The vectors,  A and B , are given by A = 3i + 4j and  B = - 2i + j. What is the scalar product of the two vectors? e. The vectors,  A and B , are given by  A = 3i + 4j and  B = - 2i + j. What is the angle between the two vectors?

Q: While standing on the roof of a building, a child tosses a tennis ball with an initial speed of 16…

A: Given: The initial speed of ball is u=16 m/s. The angle with the ball is θ=25∘. The time taken by…

Q: An object is released from rest at a height of h. During the final second of its fall, it traverses…

A: Since the object is released from rest at a height, its initial velocity is zero and it is under the…

Q: Draw each of the following vectors, then find its x- and y-components.a. d→ = (2.0 km, 30° left of…

A:

Q: A small rocket with a booster blasts off and heads straight upwards. When at  a height of 4km and a…

A:

Q: 2. Find the dot product of two vectors A=4i+3j and B =5i-2). 3. A sailor in a small boat encounters…

A: Given, A = 4i+3j B = 5i-2j

Q: a. Suppose you were doing a problem in not two, but three dimensions. Write all 4 kinematic…

A:

Q: 2. Consider a circular track of circumference= 1400 m. There are 2 bikes which start from point A…

A: The circumference of the track is 1400 m. Let’s divide the track into 7 equal parts so that the…

Q: s on A runner is also on the track going in the same direction as the walker, running at an unknown…

A:

Q: 1. A cannon that is set on a ridge, it fired a cannon ball horizontally with a speed of 340 m/s, the…

A: Solving question 1  as per the guideline: Given data: The horizontal speed of the ball is u=340 m/s…

Q: A cannonball is shot straight up at an initial speed of 98 m/s. The unit vector j is directed…

A:

Q: b. Find an expression for the particle's velocity ỷ as a function of time. c. What is the particle's…

A:

Q: a. You leave your home & drive 45 km in the +y direction for a job interview. They offer you the job…

A: Distance traveled From Home to Office location is A = 45 km (+y axis direction) Distance traveled…

Q: A 0.7 kg rubber ball has a horizontal velocity of 1.107 m/s at point A and goes through a projectile…

A:

Q: 2. A ball is launched at ground level and sent toward a wall 30 m away with a speed of 35 m/s at 40°…

A: Given data: Distance of the wall h=30m Initial speed u= 35 m/s Angle θ=40°

Q: A person is standing on top of a building. While standing at the edge of the building the person…

A:

Q: Shown is a graph of the motion of the blades of a blender that is starts empty and is initially…

A:

Q: A particle moves in the xy-plane so that its velocity vector for time 0 <<10 is (√36-61, 4t). Which…

A:

Q: at an angle of 45° at 2.7 m/s. The ring is 8.2 m away from Lawrence with a radius of 12.4 cm. Assume…

A:

Q: A frictionless rolling cart has an initial velocity of 10.0 m/s as it climbs up an incline of 24…

A:

Q: Vectors: a.) Can you find two vectors with different lengths that have a vector sum of zero?…

A:

Q: A kangaroo can jump over an object 2.7 m high. a. Calculate its vertical speed when it leaves the…

A:

Q: A small object is placed at the top of an incline that is essentially frictionless. The object…

A: s=60 mt=5.0 sv=0  (final speed)

Q: Three marathoners start running simultaneously from the same point along a linear track. On average,…

A: Given data:  Speed of Antonette = 3.5 m/s Speed of Jhuddy = 2.2 m/s Speed of Nica = 2.3 m/s Time (t)…

Q: Soba shot an arrow directly up in the air with a velocity of 30. 0 [m/s]. Disregarding air…

A:

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.