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The figure shows six frames from the motion diagrams of two moving cars, A and B

ID: 1527512 • Letter: T

Question

The figure shows six frames from the motion diagrams of two moving cars, A and B. At which time are the two objects moving at the same velocity at the same time? A) Between 2 and 3 B) Between 3 and 4 C) Between 4 and 5 D) Between 5 and 6 E) They are moving at the same velocity. When a ball is thrown straight up with no air resistance, the acceleration at ill highest point A) is upward fUns downward B) is downward C) is zero D) reverses from upward to downward E) reverses from downward to upward Alice and Tom dive from an overhang into the lake below. Tom simply straight down from the edge, but Alice takes a running start and jumps with an initial horizontal velocity of 25 m/s. Neither person experiences any significant air resistance. Compare the time it takes each of them to reach the lake below. A) Alice reaches the surface of the lake first. B) Tom reaches the surface of the lake first. C) Alice and Tom will reach the surface of the lake at the same time. If A = 2.2i - 6.9 j and B = -6.1i - 2.2j. What is the magnitude of the vector B - A? A) 9.5 B) 6.1 C) 9.9 D) 91 E) 0.76 Two identical stones are dropped from rest and feel no air resistance as they fall. Stone A is dropped height h, and stone B is dropped from height 2h. If stone A takes time t to reach the ground, stone take time A) 4t. B) 2t. C) t. D) t Squareroot 2. E) t/Squareroot 2.

Explanation / Answer

2) option B)

3) Option C)

Because, Speed is (distance travelled / time taken)
Distance travelled by Alice is more than Tom!
Reason: The path of Tom is just a straight line.But for Alice it is a curve.
Time taken by both of them is same!
So the speed of Alice is greater than the speed of Tom!!

4) Option A) is correct.

A = 2.2 i^ - 6.9 j^

B = -6.1 i^ - 2.2 j^

B – A = -8.3 i^ + 4.7 j^

Magnitude = sqrt[8.3^2 + 4.7^2] = 9.54

5) d = (½) • g • T²
d = distance fallen.
T = time to fall "d".
g = 9.8 m/sec²
______
T = (2d g)

________
Ta = [2•(h) g]
_________
T = [2•(2h) g]
___________
T = (2 ) • ([2•(h) g] )
__
T = (2 ) • Ta

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