Answer : (c), (d), and (e) are the correct formulae for characterizing the particle's motion (f) The given graph has a non-uniform slope. As a result, the formulas in (a), (b), and (e) are unable to...
Answer : (a) According to the diagram above the distance moved by the particle between t = 0s and t = 10s is equal to the are of the triangle shown above. So, we can write Distance transversed by...
Ans. For the first stone, it is given that the acceleration is a = –g = – 10 m/s2 And the initial velocity is uI = 15 m/s Using the expression of equation of motion => s1 = s0 + u1t + (1/2)at2...
Answer - According to the question, speed of child is 9 km h-1 speed of the belt is 4 km h-1 (a) When the boy runs in the belt's direction of motion, his speed as measured by a stationary observer...
Ans: According to the question, the initial velocity of the ball (u) is 49 m/s Case 1 : When the lift is stationary, the boy throws the ball upwards. The positive direction is considered to be...
Ans. Expression for the distance travelled by a body in the nth second, for a straight line is given as follows - SN = u + a (2n – 1)/2 ...
The slope of the particle's speed-time graph provides information on the particle's acceleration. The slope of the graph in the specified interval determines the magnitude of the particle's average...
Answer - Interval 2 (Largest), Interval 3 (Greatest) (Least) Positive (Intervals 1 & 2), Negative (Intervals 3 & 4) (Interval 3) The slope of the graph at a given time interval is used to...
Ans. In Simple harmonic Motion, acceleration (a) is given as => a = – ω2 x —-(1) where ω is the angular frequency (i) We are given that, at t = 0.3 s,...
Answer - (a)The graph looks like a ball being kicked, then hitting a wall and bouncing back at a slower speed. The ball then travels in the opposite direction and collides with the opposing wall,...
Answer - according to the question, the speed of the police van is 30 km/h Or, 30 x (5/18) = 25/3 m/s And the speed of a thief’s car is 192 km/h or, 192 x (5/18) = 160/3 m/s It is also given that...
Answer - The position-time graph is used to determine the position of a body at any given time, but not to establish its trajectory. Context - At time t = 0, a body is dropped from a tower (x = 0)....
Answer - There is no one-dimensional mobility in any of the four graphs. (a) Displays two positions at once, which is impossible. (b) At the same moment, a particle cannot have velocity in two...
Answer - Because the magnitude of the displacement is functionally equal to the distance traversed by the particle, instantaneous velocity and instantaneous speed are equal for a short period of...
Answer - According to the question, distance to the market is 2.5 km or 2500 m and the speed of man walking to market is 5 km/h Or, 5 x (5/18) = 1.388 m/s It is also provided that the speed of man...
Answer - (a) Consider a football, which is passed to player B by player A and then immediately kicked back to player A along the same path. The magnitude of the ball's displacement is now 0 because...
Answer - According to the question, the drop height of the ball is 90 m and the initial velocity of the ball (u) is zero. Let v denote the final velocity of the ball Then, making use of the equation...
Answer - (a) True It is true that when an object is hurled vertically into the air, its speed is zero at maximum height. It does, however, have an acceleration equal to the downward acceleration...
Answer - (c) If we assume the highest point of ball motion to be x = 0, t = 0, and the vertically downward direction of the x-axis to be +ve, then (i) Before reaching the highest point position,x =...
Answer - (a) Gravitational acceleration constantly acts downwards towards the Earth's center. (b) The ball's velocity will be zero at its highest point of motion, but the acceleration due to gravity...
Answer - Let the speed of each bus be denoted by Vb speed of the cyclist be Vc. And according to the question, Vc = 20 km/h Buses travelling in the same direction as cyclists have a relative...
Ans: According to the question speed of car A is 36 km/h or, 36 x (5/8) = 10 m/s And the speed of car B is 54 km/h Or, 54 x (5/18) = 15 m/s And the speed of car C is – 54 km/h Or, -54 x (5/18) = -15...
Ans: According to the question, length of the train A and B is 400 m and the speed of both the trains is given = 72 km/h = 72 x (5/18) = 20m/s Using the following expression, s = ut + (1/2)at2 We...
Ans. According to the question, the initial velocity of the car is u = 126 km/h ( we will change it in meter/sec as follows) u = 126 × (5/18) m/s Therefore, u = 35 m/s And the final velocity of the...
Answer : According to the question, the speed of the jet airplane (VA) is 500 km/h And the speed of ejection of combustion products relative to the jet plane is given by VB – VA= – 1500 km/h Here,...
Solution : One second is the time it takes to take one step. He walks ahead for 5 seconds, covering a distance of 5 meters, and then returns 3 meters in the next 3 seconds. As a result, he covers 2m...
Answer - According to the question, distance up to the woman's office is 2.5 km And woman's walking speed is 5 km/hTherefore by using the distance-time relation, we can find the time taken by woman...
(a) (A/B) lives closer to the school than (B/A) (b) (A/B) starts from the school earlier than (B/A) (c) (A/B) walks faster than (B/A) (d) A and B reach home at the (same/different) time (e) (A/B)...
(a) a railway carriage moving without jerks between two stations.(b) a monkey sitting on top of a man cycling smoothly on a circular track.(c) a spinning cricket ball that turns sharply on hitting...