A molor car is going due north at a spoed of 50 km / h. It makes a 90^∘ lelt turn without chang

step 1 Dear students, in the given problem, problem 73 of chapter 2nd, we have asked that a molar car i

A molor car is going due north at a spoed of 50 km / h. It...

A molor car is going due north at a spoed of $50 \mathrm{~km} / \mathrm{h}$. It makes a $90^{\circ}$ lelt turn without changing the speed The change in the velocity of the car is about (a) $50 \mathrm{~km} / \mathrm{h}$ towards west (b) $70 \mathrm{~km} / \mathrm{h}$ towards south-west (c) $70 \mathrm{~km} / \mathrm{h}$ toward north-west (d) rero

A molor car is going due north at a spoed of $50 \mathrm{~km} / \mathrm{h}$. It makes a $90^{\circ}$ lelt turn without changing the speed The change in the velocity of the car is about
(a) $50 \mathrm{~km} / \mathrm{h}$ towards west
(b) $70 \mathrm{~km} / \mathrm{h}$ towards south-west
(c) $70 \mathrm{~km} / \mathrm{h}$ toward north-west
(d) rero

Key Concepts

Using the Pythagorean Theorem to Compute Resultant Magnitudes

When finding the magnitude of the change in velocity for orthogonal (perpendicular) initial and final vectors, the Pythagorean theorem is used. This approach sums the squares of the magnitude differences in perpendicular directions and takes the square root, providing a straightforward method to compute the overall change in velocity.

Effects of Direction Change

A change in direction, such as a 90° turn, means that even if the speed remains constant, the velocity vector has altered its orientation. This shift results in a new velocity vector that, when compared to the original, represents a significant change, determined by the geometrical relation between the two perpendicular vectors.

Change in Velocity through Vector Subtraction

The change in velocity is determined by subtracting the initial velocity vector from the final velocity vector. This subtraction takes into account both magnitude and direction, making it necessary to consider the vector nature of motion when calculating the difference.

Vector Nature of Velocity

Velocity is a vector quantity, which means it includes both magnitude (speed) and direction. This property is essential in problems where the direction of motion changes, even if the speed remains constant, as it directly influences the overall change in velocity.

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